The document is a lesson plan on solving two-step equations involving fractions. It includes examples of solving equations with fractions on both sides, as well as word problems that can be represented by equations with fractions. The lesson outlines the rules for solving these types of equations, which are to keep the equation balanced, simplify each side, move the variable to one side using inverse operations, and then use inverse operations to solve for the variable.
This document contains notes and examples for teaching a lesson on solving one-step equations by multiplying fractions. It includes the aims and objectives of the lesson, examples worked out step-by-step, and homework assignments for students to practice the skills. The lesson covers key concepts like multiplicative inverses and the rules for isolating variables by keeping equations balanced and using inverse operations.
Day 11 one step equations with fractions add and subtErik Tjersland
1) The document provides step-by-step worked examples of solving one-step equations involving fractions. Examples include adding, subtracting, and isolating variables.
2) Key concepts covered are keeping equations balanced and using inverse operations to isolate variables.
3) Students are provided multiple practice problems to solve similar one-step fraction equations.
This document contains a series of slides about solving fractional equations by combining like terms. The slides provide examples of fractional equations and the steps to solve them which are: 1) keep the equation balanced, 2) simplify each side by combining like terms, 3) move the variable to one side using inverse operations, and 4) use inverse operations to solve for the variable. The document seeks to teach students how to isolate variables in fractional equations through examples and clear steps to follow.
The document discusses taxes and sales tax problems. It provides a tax formula that calculates total cost as sub-total plus tax amount. Several word problems are presented that involve calculating sales tax on various purchases at different tax rates. Students are asked to fill in missing values on sample receipts. The document concludes by having students create and trade sales tax problems with partners.
The document outlines a mid-module review class, including the aim to prepare for an upcoming exam. It provides the homework assigned which is to prepare for the exam and complete an exit ticket. It then shows worked out answers to homework problems involving adding, subtracting, and solving equations with variables.
This document contains notes from a math class on surface area. It lists the homework problems from the previous lesson and the next exam date. Each page of the notebook is summarized, with topics including opening exercises, homework answers, and worked problems on calculating surface area from pages of the textbook. The class focused on finishing the module on surface area before taking an exam on it later in the week.
This document is a lesson plan on adding and subtracting fractions. It includes examples of fraction addition and subtraction problems, as well as explanations of necessary concepts like common denominators. Students are provided practice problems at the end to solve. The overall goal is to teach students how to perform calculations with fractions and understand the steps involved in adding or subtracting fractions.
The document discusses comparing unit prices between different stores or products. It provides examples of calculating unit rates to determine the best deal. Specifically, it shows the prices for various items like shirts, baseballs, tickets, pens, and games at different stores. The examples illustrate dividing the total price by the number of items to get the unit price in order to compare offers from multiple sellers.
This document contains notes and examples for teaching a lesson on solving one-step equations by multiplying fractions. It includes the aims and objectives of the lesson, examples worked out step-by-step, and homework assignments for students to practice the skills. The lesson covers key concepts like multiplicative inverses and the rules for isolating variables by keeping equations balanced and using inverse operations.
Day 11 one step equations with fractions add and subtErik Tjersland
1) The document provides step-by-step worked examples of solving one-step equations involving fractions. Examples include adding, subtracting, and isolating variables.
2) Key concepts covered are keeping equations balanced and using inverse operations to isolate variables.
3) Students are provided multiple practice problems to solve similar one-step fraction equations.
This document contains a series of slides about solving fractional equations by combining like terms. The slides provide examples of fractional equations and the steps to solve them which are: 1) keep the equation balanced, 2) simplify each side by combining like terms, 3) move the variable to one side using inverse operations, and 4) use inverse operations to solve for the variable. The document seeks to teach students how to isolate variables in fractional equations through examples and clear steps to follow.
The document discusses taxes and sales tax problems. It provides a tax formula that calculates total cost as sub-total plus tax amount. Several word problems are presented that involve calculating sales tax on various purchases at different tax rates. Students are asked to fill in missing values on sample receipts. The document concludes by having students create and trade sales tax problems with partners.
The document outlines a mid-module review class, including the aim to prepare for an upcoming exam. It provides the homework assigned which is to prepare for the exam and complete an exit ticket. It then shows worked out answers to homework problems involving adding, subtracting, and solving equations with variables.
This document contains notes from a math class on surface area. It lists the homework problems from the previous lesson and the next exam date. Each page of the notebook is summarized, with topics including opening exercises, homework answers, and worked problems on calculating surface area from pages of the textbook. The class focused on finishing the module on surface area before taking an exam on it later in the week.
This document is a lesson plan on adding and subtracting fractions. It includes examples of fraction addition and subtraction problems, as well as explanations of necessary concepts like common denominators. Students are provided practice problems at the end to solve. The overall goal is to teach students how to perform calculations with fractions and understand the steps involved in adding or subtracting fractions.
The document discusses comparing unit prices between different stores or products. It provides examples of calculating unit rates to determine the best deal. Specifically, it shows the prices for various items like shirts, baseballs, tickets, pens, and games at different stores. The examples illustrate dividing the total price by the number of items to get the unit price in order to compare offers from multiple sellers.
This document appears to be notes from a math lesson on reflections. It includes instructions for homework, examples of different types of reflections over the x-axis, y-axis, and lines. Key points covered are that there are three types of reflections: over the x-axis, y-axis, and lines. Examples are given reflecting points over y=2, y=-1, y=x, and y=-x to demonstrate reflections.
This document discusses graphing unit rates from proportional relationships. It provides examples of graphing points representing quantities and prices to determine the better unit rate deal. The unit rate is located at the point (1,r) on each line graph, where r is the numerical value of the unit rate. Students are asked to graph relationships for paint deals, boat racing speeds, and coffee costs. They are to determine the better deal or faster speed based on the unit rate represented by the point (1,r) on each line graph. Connecting the points to the origin shows the proportional relationships.
Day 4 adding and subtracting mixed numbersErik Tjersland
This document is a teacher's notebook for a lesson on adding and subtracting mixed numbers. It includes the aims of the lesson, warm-up questions, examples of adding and subtracting mixed numbers with step-by-step workings, additional practice problems, and a homework assignment. The lesson explains how to convert mixed numbers to improper fractions before adding or subtracting.
This document contains notes from a math class lesson on taxes. It includes examples of solving for subtotals and taxes on receipts, as well as definitions of sales tax and income tax. Students worked on practice problems filling out receipts and were assigned to create a sales tax problem with a partner for homework.
This document contains notes from a math lesson on March 21, 2016. It reviews topics like percent equations, sale prices, inequalities, volume, and polynomials. Students have a test on these topics on March 22. The lesson includes review questions, homework assignments, and worked out examples on percent increases, sale taxes, factoring, distributing, and collecting like terms.
The document outlines notes and instructions for a math lesson on solving equations, finding mean, median, mode, and range from data sets. It includes instructions for homework problems to solve equations, and notes on different measures of central tendency and how to calculate them from sample data. The document provides guidance for students on the key concepts and exercises for Module 5 Lesson 9.
The document is a lesson plan on simple interest. It includes instructions for students to complete previous homework and introduces the topic of simple interest. Students watch an investment video and analyze patterns in interest tables. They discuss representing interest earned with equations and diagrams. The lesson closes by having students explain the simple interest formula variables and calculating time for a quarterly interest rate over two years.
This document contains notes from a mathematics lesson on properties of inequalities. It includes examples of how the inequality symbol is preserved or reversed when performing operations like addition, subtraction, multiplication, and division. Specifically:
- The inequality symbol is preserved when adding, subtracting, or multiplying/dividing by a positive number.
- The inequality symbol is reversed when multiplying or dividing by a negative number.
- A greater than symbol becomes a less than symbol, or vice versa, when the inequality is reversed due to multiplying or dividing by a negative number.
The document provides instruction on multiplying rational numbers. It includes examples of multiplying integers with the same and different signs. Students are asked to complete practice problems multiplying rational numbers, including multiplying fractions and decimals. The document emphasizes that when multiplying integers with different signs, the product is negative, and with the same signs, the product is positive.
The document provides instruction on adding integers using a number line. It includes examples of adding integer expressions and evaluating expressions with integer variables. Students practice adding integer pairs on a number line and solving word problems involving integer addition. The lesson aims to explain how to add integers by moving left or right on the number line depending on the signs of the addends.
This document contains a lesson on combining like terms in algebraic expressions. It includes examples of expressions to simplify with the simplified answers listed as choices. The document tests students' ability to combine like terms and simplify expressions. It concludes by asking how students know when an expression is completely simplified and assigning homework from an online system.
The document discusses a geometry lesson about the conditions needed to determine a unique triangle. It provides examples of problems that give two sides and a non-included angle, and how this determines one triangle if the angle is right or obtuse, but not if the angle is acute. It emphasizes that two sides and a non-included angle will identify a unique triangle only when the angle is right or obtuse.
The document outlines a math lesson on unique triangles that reviews definitions and discusses the Side-Angle-Side (SAS) criterion for determining if a triangle is unique. Homework from the previous lesson is due on Tuesday and the current lesson focuses on identifying unique triangles based on given side and angle measurements.
This document is from a math lesson on angles associated with parallel lines. It defines exterior and interior angles and discusses vertical angles, supplementary angles, alternate interior angles, and corresponding angles. It provides examples of finding the measure of unknown angles using properties of parallel lines and transversals. The homework assignments involve applying these concepts to solve problems involving angles formed by parallel lines and transversals.
This document provides steps for solving one-step equations involving fractions. It begins with examples of fractional equations and outlines the key rules for solving such equations: 1) keep the equation balanced, 2) simplify each side by combining like terms, 3) move the variable to one side using inverse operations, and 4) use inverse operations to solve for the variable. The document works through examples applying these rules and concludes with a reminder of the objective and homework assignment.
This document provides steps for solving one-step equations involving fractions. It begins with examples of fractional equations and notes the procedure is different than for whole number equations. It then lists the rules for solving one-step equations which include keeping the equation balanced, simplifying each side, moving the variable to one side using inverse operations, and using inverse operations to solve for the variable. The document works through examples applying these steps and concludes with a summary of explaining the lesson to an absent student and providing homework.
This document provides instructions and examples for solving one-step equations by multiplying fractions. It begins with an anticipatory set asking students to complete examples of multiplying fractions. Rules for solving one-step equations are presented, including keeping the equation balanced, combining like terms, and using inverse operations to isolate the variable. Several examples are worked through demonstrating these steps. The document concludes with a homework assignment.
This document provides instructions and examples for solving one-step equations by multiplying fractions. It begins with an anticipatory set asking students to complete examples of multiplying fractions. Rules for solving one-step equations are presented, including keeping the equation balanced, combining like terms, and using inverse operations to isolate the variable. Several examples are worked through demonstrating these steps. The document concludes with a preview of homework and attachments including a notebook on multiplicative and additive inverses.
This document provides instructions for solving two-step equations involving fractions and decimals. It outlines the key rules: 1) keep the equation balanced, 2) simplify each side by combining like terms, 3) move the variable to one side using inverse operations, and 4) use inverse operations. It then works through several examples of solving two-step equations with fractions and decimals, applying the outlined rules. The objective is to isolate the variable to find its value.
This document provides instruction and examples for solving two-step equations involving fractions. It begins with examples of finding the greatest common factor and least common multiple of various numbers. The remainder of the document provides worked examples of solving single-variable equations using inverse operations, including equations with fractions. Students are asked to find and explain mistakes, trade word problems involving fractions with classmates, and complete a homework assignment.
This document provides examples and instructions for solving two-step equations involving fractions. It begins with a warm-up involving finding the greatest common factor and least common multiple of various numbers. The main content then shows the steps and rules for isolating a variable in an equation: 1) keep the equation balanced, 2) simplify each side, 3) move the variable to one side using inverse operations, and 4) use inverse operations. Several examples are worked through demonstrating this process. The document concludes with a word problem involving fractions that students are instructed to solve.
The document provides steps and examples for solving two-step equations involving fractions. It begins with an anticipatory set asking students to consider how fractions may impact solving two-step equations. It then outlines four rules for solving such equations: 1) keep the equation balanced, 2) simplify each side by combining like terms, 3) move the variable to one side using inverse operations, and 4) use inverse operations. The document provides worked examples demonstrating applying these rules to equations with fractions. It concludes with assigning homework to finish the class notes.
This document appears to be notes from a math lesson on reflections. It includes instructions for homework, examples of different types of reflections over the x-axis, y-axis, and lines. Key points covered are that there are three types of reflections: over the x-axis, y-axis, and lines. Examples are given reflecting points over y=2, y=-1, y=x, and y=-x to demonstrate reflections.
This document discusses graphing unit rates from proportional relationships. It provides examples of graphing points representing quantities and prices to determine the better unit rate deal. The unit rate is located at the point (1,r) on each line graph, where r is the numerical value of the unit rate. Students are asked to graph relationships for paint deals, boat racing speeds, and coffee costs. They are to determine the better deal or faster speed based on the unit rate represented by the point (1,r) on each line graph. Connecting the points to the origin shows the proportional relationships.
Day 4 adding and subtracting mixed numbersErik Tjersland
This document is a teacher's notebook for a lesson on adding and subtracting mixed numbers. It includes the aims of the lesson, warm-up questions, examples of adding and subtracting mixed numbers with step-by-step workings, additional practice problems, and a homework assignment. The lesson explains how to convert mixed numbers to improper fractions before adding or subtracting.
This document contains notes from a math class lesson on taxes. It includes examples of solving for subtotals and taxes on receipts, as well as definitions of sales tax and income tax. Students worked on practice problems filling out receipts and were assigned to create a sales tax problem with a partner for homework.
This document contains notes from a math lesson on March 21, 2016. It reviews topics like percent equations, sale prices, inequalities, volume, and polynomials. Students have a test on these topics on March 22. The lesson includes review questions, homework assignments, and worked out examples on percent increases, sale taxes, factoring, distributing, and collecting like terms.
The document outlines notes and instructions for a math lesson on solving equations, finding mean, median, mode, and range from data sets. It includes instructions for homework problems to solve equations, and notes on different measures of central tendency and how to calculate them from sample data. The document provides guidance for students on the key concepts and exercises for Module 5 Lesson 9.
The document is a lesson plan on simple interest. It includes instructions for students to complete previous homework and introduces the topic of simple interest. Students watch an investment video and analyze patterns in interest tables. They discuss representing interest earned with equations and diagrams. The lesson closes by having students explain the simple interest formula variables and calculating time for a quarterly interest rate over two years.
This document contains notes from a mathematics lesson on properties of inequalities. It includes examples of how the inequality symbol is preserved or reversed when performing operations like addition, subtraction, multiplication, and division. Specifically:
- The inequality symbol is preserved when adding, subtracting, or multiplying/dividing by a positive number.
- The inequality symbol is reversed when multiplying or dividing by a negative number.
- A greater than symbol becomes a less than symbol, or vice versa, when the inequality is reversed due to multiplying or dividing by a negative number.
The document provides instruction on multiplying rational numbers. It includes examples of multiplying integers with the same and different signs. Students are asked to complete practice problems multiplying rational numbers, including multiplying fractions and decimals. The document emphasizes that when multiplying integers with different signs, the product is negative, and with the same signs, the product is positive.
The document provides instruction on adding integers using a number line. It includes examples of adding integer expressions and evaluating expressions with integer variables. Students practice adding integer pairs on a number line and solving word problems involving integer addition. The lesson aims to explain how to add integers by moving left or right on the number line depending on the signs of the addends.
This document contains a lesson on combining like terms in algebraic expressions. It includes examples of expressions to simplify with the simplified answers listed as choices. The document tests students' ability to combine like terms and simplify expressions. It concludes by asking how students know when an expression is completely simplified and assigning homework from an online system.
The document discusses a geometry lesson about the conditions needed to determine a unique triangle. It provides examples of problems that give two sides and a non-included angle, and how this determines one triangle if the angle is right or obtuse, but not if the angle is acute. It emphasizes that two sides and a non-included angle will identify a unique triangle only when the angle is right or obtuse.
The document outlines a math lesson on unique triangles that reviews definitions and discusses the Side-Angle-Side (SAS) criterion for determining if a triangle is unique. Homework from the previous lesson is due on Tuesday and the current lesson focuses on identifying unique triangles based on given side and angle measurements.
This document is from a math lesson on angles associated with parallel lines. It defines exterior and interior angles and discusses vertical angles, supplementary angles, alternate interior angles, and corresponding angles. It provides examples of finding the measure of unknown angles using properties of parallel lines and transversals. The homework assignments involve applying these concepts to solve problems involving angles formed by parallel lines and transversals.
This document provides steps for solving one-step equations involving fractions. It begins with examples of fractional equations and outlines the key rules for solving such equations: 1) keep the equation balanced, 2) simplify each side by combining like terms, 3) move the variable to one side using inverse operations, and 4) use inverse operations to solve for the variable. The document works through examples applying these rules and concludes with a reminder of the objective and homework assignment.
This document provides steps for solving one-step equations involving fractions. It begins with examples of fractional equations and notes the procedure is different than for whole number equations. It then lists the rules for solving one-step equations which include keeping the equation balanced, simplifying each side, moving the variable to one side using inverse operations, and using inverse operations to solve for the variable. The document works through examples applying these steps and concludes with a summary of explaining the lesson to an absent student and providing homework.
This document provides instructions and examples for solving one-step equations by multiplying fractions. It begins with an anticipatory set asking students to complete examples of multiplying fractions. Rules for solving one-step equations are presented, including keeping the equation balanced, combining like terms, and using inverse operations to isolate the variable. Several examples are worked through demonstrating these steps. The document concludes with a homework assignment.
This document provides instructions and examples for solving one-step equations by multiplying fractions. It begins with an anticipatory set asking students to complete examples of multiplying fractions. Rules for solving one-step equations are presented, including keeping the equation balanced, combining like terms, and using inverse operations to isolate the variable. Several examples are worked through demonstrating these steps. The document concludes with a preview of homework and attachments including a notebook on multiplicative and additive inverses.
This document provides instructions for solving two-step equations involving fractions and decimals. It outlines the key rules: 1) keep the equation balanced, 2) simplify each side by combining like terms, 3) move the variable to one side using inverse operations, and 4) use inverse operations. It then works through several examples of solving two-step equations with fractions and decimals, applying the outlined rules. The objective is to isolate the variable to find its value.
This document provides instruction and examples for solving two-step equations involving fractions. It begins with examples of finding the greatest common factor and least common multiple of various numbers. The remainder of the document provides worked examples of solving single-variable equations using inverse operations, including equations with fractions. Students are asked to find and explain mistakes, trade word problems involving fractions with classmates, and complete a homework assignment.
This document provides examples and instructions for solving two-step equations involving fractions. It begins with a warm-up involving finding the greatest common factor and least common multiple of various numbers. The main content then shows the steps and rules for isolating a variable in an equation: 1) keep the equation balanced, 2) simplify each side, 3) move the variable to one side using inverse operations, and 4) use inverse operations. Several examples are worked through demonstrating this process. The document concludes with a word problem involving fractions that students are instructed to solve.
The document provides steps and examples for solving two-step equations involving fractions. It begins with an anticipatory set asking students to consider how fractions may impact solving two-step equations. It then outlines four rules for solving such equations: 1) keep the equation balanced, 2) simplify each side by combining like terms, 3) move the variable to one side using inverse operations, and 4) use inverse operations. The document provides worked examples demonstrating applying these rules to equations with fractions. It concludes with assigning homework to finish the class notes.
The document discusses solving fractional equations by combining like terms. It begins with an anticipatory set asking students to describe how to combine like terms in a sample equation. It then reviews the rules for isolating a variable by keeping equations balanced, combining like terms, using the distributive property, and inverse operations. Several examples are worked through step-by-step demonstrating how to apply these rules to solve equations algebraically for an isolated variable. The document concludes with a word problem asking students to write and solve an equation to find the cost of drinks.
The document provides guidance on solving equations with variables on both sides. It begins with an example problem showing how to isolate the variable by keeping the equation balanced, simplifying like terms, and using inverse operations to move the variable to one side. The document then lists the key rules for solving these types of equations. Finally, it works through several more example problems demonstrating how to apply the rules to isolate variables on both sides of equations with fractions or decimals.
The document provides steps for solving equations with variables on both sides. It begins with an anticipatory set asking how to deal with variables on both sides of an equation. It then presents the objective of isolating the variable to find its value. Four rules are outlined: 1) keep the equation balanced, 2) simplify each side by combining like terms, 3) move the variable to one side using inverse operations, and 4) use inverse operations. Several examples are worked through demonstrating how to apply the rules to isolate the variable. The document concludes by asking students to explain how to solve equations involving fractions to an absent student and anticipates difficulties they may face.
The document provides steps for solving multi-step equations with variables on both sides. It begins with examples of solving equations with variables on both sides and checking the solutions. It then outlines three rules for solving such equations: 1) keep the equation balanced, 2) simplify each side by combining like terms, and 3) use inverse operations. The document works through several examples of applying these rules to isolate the variable and solve equations. It concludes by having the student describe how to decide which variable term to add or subtract on both sides of an equation.
This document provides examples and steps for solving fractional equations by combining like terms. It begins with an example of writing and solving an equation to determine what score is needed on a third exam for the mean score to be 90, given scores of 93 and 80 on the first two exams. It then presents the objective of isolating the variable and lists the rules for solving equations, which include keeping the equation balanced, combining like terms, using inverse operations to move variables to one side. Several worked examples demonstrating these steps are shown. It concludes with a homework assignment to finish the class notes.
This document provides instructions and examples for solving one-step equations involving fractions. It begins with an example equation to solve, then provides the rules for solving equations by isolating the variable. Several worked examples are shown applying the rules to solve equations with fractions. Students are asked to check solutions and find errors. The document concludes with an assignment of similar homework problems.
This document provides instructions and examples for solving multi-step equations. It begins with an anticipatory set asking students to list the steps to isolate the variable. It then lists the steps as distributing terms if needed, combining like terms if needed, moving variables to one side using inverse operations, and using inverse operations to isolate the variable. The document provides examples of applying these steps to equations such as -16 = 6a + 8 - 2a and -2(2x + 4) = 3(2x - 6). It concludes with assigning homework to practice these skills.
The document provides instructions for solving one-step equations involving fractions. It begins with examples of equations to write and solve, then outlines the steps to isolate the variable as: 1) Keep the equation balanced, 2) Simplify each side by combining like terms, 3) Move the variable to one side using inverse operations, and 4) Use inverse operations. Several practice problems are worked through as examples. The document concludes by reminding students of homework due and checking an error.
This document provides instructions on how to solve equations with variables on both sides by using inverse operations to isolate the variable. It explains that you must keep the equation balanced, simplify each side by combining like terms, and use inverse operations such as addition, subtraction, multiplication, and division to remove the variable from one side of the equation. Several examples of solving equations with variables on both sides are shown step-by-step.
This document provides instructions on how to solve equations with variables on both sides by using inverse operations to isolate the variable. It explains that you must keep the equation balanced, simplify each side by combining like terms, and use inverse operations such as addition, subtraction, multiplication, and division to remove the variable from one side of the equation. It then provides examples of equations and the steps to solve them by isolating the variable.
Day 9 distributive property equations day 2Erik Tjersland
This document provides instruction on solving multi-step equations using the distributive property. It includes examples of distributing terms in expressions and solving equations with variables in parentheses. The objective is to isolate the variable and find its value by keeping equations balanced, combining like terms, and using inverse operations. Students are provided rules and multiple examples to work through. The homework is to complete a worksheet solving similar equations.
This document provides instructions and examples for solving multi-step equations with variables on both sides. It begins with the learning objective of isolating a variable to find its value. Four rules are outlined: 1) keep the equation balanced, 2) simplify each side by combining like terms, 3) use the distributive property, and 4) use inverse operations to move the variable to one side. The document then works through 10 examples applying these rules to solve equations. It concludes by asking how a student would explain today's lesson on solving equations with variables on both sides to another student who was absent.
Linear equations lesson 8 day 2 graphing linear equationsErik Tjersland
The document is from a pre-algebra lesson on graphing linear equations. It discusses re-arranging equations into slope-intercept form (y=mx+b) and explains the procedure for graphing a line when given an equation in this format. Specifically, it describes using the slope (m) to rise/run and the y-intercept (b) to locate the point where the line crosses the y-axis. The document provides examples and questions to reinforce understanding of graphing linear equations from their slope-intercept form.
Linear equations lesson 8 day 1 graphing linear equationsErik Tjersland
The document is notes from a pre-algebra lesson on graphing linear equations using the y=mx+b format. It includes instructions to complete problems 9 and 10 on page 48, as well as examples of graphing different linear equations by plotting points from the equation and connecting them with a line. The closing question asks students to explain the procedure for graphing a line when given an equation in y=mx+b format.
This document appears to be notes from a pre-algebra lesson on calculating slope. It includes examples of slope calculations for lines on pages 42, 43, 47, and 48. The closing question asks students to explain the procedure for finding the slope of a line.
This document contains notes from a math lesson on solving area problems using scale drawings. The lesson outlines the do now activity and upcoming homework assignments. It then discusses scale drawings and scale factors on pages 3 through 11, explaining how to use scale drawings to find the actual area of real-world objects.
Module 4.5 lesson 9 computing actual lengthsErik Tjersland
This document outlines a math lesson on computing actual lengths from a scale drawing. It includes notes on converting scaled measurements to actual lengths using scale factors. For homework, students are asked to complete problem set #4 which involves calculating actual distances based on scale drawings. A quiz on this content is scheduled for February 28.
This document contains notes from a pre-algebra lesson on slope. It includes examples of finding the slope of a line from its graph and equation. There is a quiz scheduled on linear equations for Wednesday February 15th for B day students and Thursday February 16th for A day students. The lesson discusses different types of slopes including positive, negative, zero, and undefined slopes.
Module 4.5 lesson 7 scale factor as a percentErik Tjersland
This document contains notes from a math lesson on scale factor as a percent. It includes homework assignments and pages from the textbook covering topics such as calculating scale factor as a percentage and creating scale drawings with different horizontal and vertical scale factors. The closing question asks whether a scale drawing can have different horizontal and vertical scale factors and how to create one with different factors.
This document discusses using scale maps to determine actual distances. It provides examples of using scale factors and proportions to calculate distances between towns based on their representation on a map. The scale of the map in the examples is 0.75 inches equals 4 miles. Students are asked to use this scale to determine actual distances between various town pairs. They are also asked why distances calculated from a map may be less than the actual distance driven in a car.
Linear equations lesson 5 horizontal and vertical linesErik Tjersland
This document contains notes from a lesson on linear equations that focuses on horizontal and vertical lines. It includes examples of solving linear equations by choosing to fix either the x-value or y-value. Students are given a quiz on Thursday and Friday to assess their understanding of these concepts. The document provides instructions to complete example 5 on page 22 of the lesson materials.
The document is from a math lesson on computing actual areas from scale drawings. It provides examples of finding scale factors from drawings and using them to determine actual areas. It asks students to check if their area calculations match the examples. The lesson closes by asking students how to find an actual area given a scale drawing and a situation where this would be useful.
Module 4.5 lesson 3 computing actual lengths from scale drawingsErik Tjersland
This document provides examples and explanations for computing actual lengths from scale drawings. It begins with an example of a proposed half basketball court that needs to fit within a 25 foot by 75 foot lot. It then explains that the scale factor is the constant of proportionality that relates the actual length to the drawn length. Several other examples are worked through, applying the concept of using the scale factor and a proportion to determine actual lengths from a scaled drawing. The document concludes by restating that the scale factor expresses the relationship between the actual object and its scale drawing.
Module 4.5 lesson 2 unit rate as the scale factorErik Tjersland
This document contains notes from a math lesson on unit rate as a scale factor. It includes examples of using scale factors to determine measurements for scaled drawings. The key points are that scale factor is calculated as the ratio of actual to drawn measurements, scale factors greater than 1 enlarge a drawing while factors less than 1 reduce it, and scale factors can be used to find dimensions for scaled objects and maps using proportions. Homework includes problem set questions and creating a scaled drawing.
Linear equations lesson 4 graphing linear equationsErik Tjersland
This document outlines a lesson on graphing linear equations from tables of values. It provides instructions to complete example 2 on page 15, and schedules supplemental practice and a quiz for the following Thursday and Friday to reinforce the concepts taught in the lesson.
1) The document provides lesson materials on scale drawings, including examples of scale drawings that are reductions or enlargements of original images. It discusses using scale drawings of maps and geometric shapes.
2) Students are asked to identify corresponding points on scale drawings of maps and the coordinates of vertices for geometric shapes. They are also asked to determine if a constant of proportionality exists for scale drawings.
3) The lesson aims to help students understand how to relate scale drawings to ratios and rates by analyzing examples of scale drawings and their relationships to original images.
The document outlines a review for a Module 4 exam. It instructs students to prepare for the exam by doing homework and going over the previous night's work with a partner. The review includes mixed exercises on percentages to help students study for concepts involving percents that could appear on the exam.
Linear equations lesson 3 consecutive integersErik Tjersland
The document outlines a pre-algebra lesson on consecutive integers that includes:
- Writing let statements and equations to solve word problems involving consecutive integers
- Examples of consecutive integer word problems and their solutions
- A closing activity to explain the procedure for writing equations from word problems.
14 mixed review with percents with answersErik Tjersland
The document outlines a math class focusing on percentages that includes a do now, homework assignments, and an exam date. It provides notes for a mixed review of percentage problems, repeating the class objective of percentage calculations.
This document outlines notes from a science lesson on relative error. It includes instructions for students to complete homework problems and an experiment to measure density. The document provides examples to calculate relative error and asks students to consider how this concept could be applied to other labs.
This document contains notes from a math lesson on relative error. It includes the date of the lesson, topics to be covered which are finding the percent error of measurements and the purpose of finding percent error. The document provides examples of measurements and the corresponding percent errors. It also lists homework problems and the date of an upcoming exam.
Linear equations lesson 2 geometric word problemsErik Tjersland
This document outlines a lesson on solving geometric word problems algebraically. It provides instructions for students to complete problems 25-30 on page 4, which involve writing a "let statement" and equation for each word problem and solving to find the answer. The document includes pages of example problems and explains the procedure for writing an equation from a word problem. It concludes with a closing activity for students to explain their process.
1. Day 18 Fraction Two Step.notebook January 22, 2013
AIM: Solving Two-Step
Equations involving Fractions
Do Now
Evaluate the following using the order
of operations.
-2 1
3
( 4 - 2) ÷ (-3)
1
3. Day 18 Fraction Two Step.notebook January 22, 2013
Anticipatory Set
Find, Correct, and Explain my mistake in
the following problem.
3 = 1
2y -
5 2
3
4. Day 18 Fraction Two Step.notebook January 22, 2013
1
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
4.) Use inverse operations
-1 x + 2 = -2
3
4
5. Day 18 Fraction Two Step.notebook January 22, 2013
2
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
4.) Use inverse operations
3 x-4 -1
=
8 4
5
6. Day 18 Fraction Two Step.notebook January 22, 2013
3
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
4.) Use inverse operations
1 x+3
6 =
5
6
7. Day 18 Fraction Two Step.notebook January 22, 2013
4
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
4.) Use inverse operations
2 1 -1
x+ =
3 5 2
7
8. Day 18 Fraction Two Step.notebook January 22, 2013
5
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
4.) Use inverse operations
5 a = 1
-
6 4 3
8
9. Day 18 Fraction Two Step.notebook January 22, 2013
6
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
4.) Use inverse operations
2
-3
4
y - 3
=
-4
5
9
10. Day 18 Fraction Two Step.notebook January 22, 2013
The school purchased baseball equipment and uniforms for a
total cost of $1326. The equipment costs $598.50 and the
uniforms were $24.25 each. How many uniforms did the
school purchase? Write and solve an equation for this
situation.
10
11. Day 18 Fraction Two Step.notebook January 22, 2013
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
4.) Use inverse operations
1.4x + 0.8 = -1.3
11
12. Day 18 Fraction Two Step.notebook January 22, 2013
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
4.) Use inverse operations
24.5 = 1.61 - 2.4r
12
13. Day 18 Fraction Two Step.notebook January 22, 2013
Before You Leave
Trade an Equation
Create a word problem conatining fractions with your partner.
Trade with a neighboring partnership and solve.
13