Day 4 formulas
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This document provides examples for using formulas to solve problems. It includes the formulas for area of a rectangle, distance, speed, and density. Students are given practice problems using these formulas, such as calculating the area of a rectangle with dimensions of 4 by 8, distance traveled at a rate of 4 feet per second for 138 seconds, and the density of an object with a mass of 64 grams and volume of 4 cm3. The document concludes with reminding students that their Castle Homework #10 is due the next day.
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Day 4 formulas
This document provides examples of using formulas to solve problems. It includes the formulas for area of a rectangle, distance, rate and time, density, and perimeter of a rectangle. It works through practice problems applying these formulas, such as finding the area and perimeter of rectangles with given dimensions, calculating distance traveled at a rate over time, determining density from given mass and volume, and finding mass using given density and volume. The document aims to demonstrate how formulas can be used to represent relationships between quantities and solve for unknown values.
Day 7 scientific notation
This document provides instruction on scientific notation. It includes examples of converting numbers between standard form and scientific notation. Students are given practice problems converting numbers like 4,340,000 and 3,000,000,000 between the two forms. The document also has students find mistakes in the teacher's worked examples and write the correct answers.
Day 6 money
The document provides instructions on how to convert amounts of money between different world currencies using current exchange rates. It lists several major currencies like the US Dollar, Euro, British Pound, and their exchange rates. Examples are given of how to calculate the equivalent amount for a given currency conversion, such as converting US Dollars to Mexican Pesos or British Pounds to US Dollars.
Day 18 translating inequalities
This document provides examples and practice problems for writing and solving inequalities. It begins with a basic skills quiz, then provides homework assignments and examples of writing inequalities to model word problems. Students are asked to find and correct mistakes in sample inequalities. Practice problems include writing inequalities to represent scenarios about carrying capacity for hikers, money spent at a carnival, and the number of employees an office can hold. The document concludes with asking students to generate their own word problem that could be modeled with an inequality.
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This document provides instructions on how to factor trinomials. It explains that to factor an expression of the form x^2 + bx + c, you need to find two numbers whose product is c and sum is b. It then provides examples of factoring various trinomial expressions like x^2 + 5x + 6 = (x + 2)(x + 3). At the end, it directs students to factor additional trinomials for homework.
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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.
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This document provides instruction on subtracting integers. It includes examples to evaluate, such as finding the temperature difference between the record high and low in North Carolina. The document also provides homework assignments from pages 148-149 involving adding, subtracting, and evaluating integers. It concludes by asking how a student would explain the lesson on subtracting integers to an absent student.
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Day 4 formulas
This document provides examples of using formulas to solve problems. It includes the formulas for area of a rectangle, distance, rate and time, density, and perimeter of a rectangle. It works through practice problems applying these formulas, such as finding the area and perimeter of rectangles with given dimensions, calculating distance traveled at a rate over time, determining density from given mass and volume, and finding mass using given density and volume. The document aims to demonstrate how formulas can be used to represent relationships between quantities and solve for unknown values.
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This document provides instruction on scientific notation. It includes examples of converting numbers between standard form and scientific notation. Students are given practice problems converting numbers like 4,340,000 and 3,000,000,000 between the two forms. The document also has students find mistakes in the teacher's worked examples and write the correct answers.
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The document provides instructions on how to convert amounts of money between different world currencies using current exchange rates. It lists several major currencies like the US Dollar, Euro, British Pound, and their exchange rates. Examples are given of how to calculate the equivalent amount for a given currency conversion, such as converting US Dollars to Mexican Pesos or British Pounds to US Dollars.
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This document provides examples and practice problems for writing and solving inequalities. It begins with a basic skills quiz, then provides homework assignments and examples of writing inequalities to model word problems. Students are asked to find and correct mistakes in sample inequalities. Practice problems include writing inequalities to represent scenarios about carrying capacity for hikers, money spent at a carnival, and the number of employees an office can hold. The document concludes with asking students to generate their own word problem that could be modeled with an inequality.
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This document provides instructions on how to factor trinomials. It explains that to factor an expression of the form x^2 + bx + c, you need to find two numbers whose product is c and sum is b. It then provides examples of factoring various trinomial expressions like x^2 + 5x + 6 = (x + 2)(x + 3). At the end, it directs students to factor additional trinomials for homework.
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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.
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This document provides instruction on subtracting integers. It includes examples to evaluate, such as finding the temperature difference between the record high and low in North Carolina. The document also provides homework assignments from pages 148-149 involving adding, subtracting, and evaluating integers. It concludes by asking how a student would explain the lesson on subtracting integers to an absent student.
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This document discusses experimental probability. It defines experimental probability as the number of times an event occurs divided by the number of trials. It provides examples of calculating experimental probabilities and discusses how experimental probabilities are estimates rather than exact predictions due to random variation in outcomes.
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This document contains a math lesson on percent equations. It includes examples of percent word problems to solve, such as finding percentages of numbers and calculating commission amounts. It also describes an activity for students to trade math problems with one another and check each other's work. The homework assignment is to complete selected problems from pages 318-319 of their textbook.
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This document provides examples for calculating the circumference and area of circles. It begins with a basic skills quiz, then provides homework assignments. An anticipatory set asks students to compare circumference and area in a Venn diagram. The remainder of the document provides word problems to calculate radius, diameter, circumference and area when given any one of those values. It concludes by asking how a student would explain the lesson on circles to an absent classmate.
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This document provides instruction on adding integers. It begins with examples of adding integers with integer chips. Rules are then developed for adding integers with the same sign and integers with different signs without using chips. These rules are applied to evaluate expressions. Extra practice examples are also provided, along with homework assigned from Castle Learning.
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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.
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This document provides instruction on using indirect measurement to find the height of objects like a flagpole or traffic light. It discusses setting up proportions between corresponding sides of similar triangles using shadows of different lengths cast by the object and another item of known height. Students are guided through example problems of writing and solving proportions to find unknown heights. The last page prompts students to outline the steps, materials, and initial information needed to indirectly measure the height of a school flagpole.
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This document outlines the procedures for a station review activity. Students will rotate through different stations to complete math problems and receive feedback on their work. Bonus points will be awarded based on completing problems quickly and accurately. Teachers will provide reminders to students to focus their communication only on the station tasks and not disrupt other students. An attachment includes a student handout with more details.
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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.
Circles diameter
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This document provides instruction on calculating properties of circles. It defines key terms like circumference, diameter, radius and pi. It gives the formulas for calculating diameter from radius, radius from diameter, and circumference from diameter or radius using pi. Examples are provided to demonstrate calculating diameter from radius, radius from diameter, and circumference from radius. The final examples ask students to use what they learned to find the diameter and circumference of a circle with a given radius.
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This document provides instruction on adding integers. It begins with examples of adding integers with integer chips. Rules are then developed for adding integers with the same sign and integers with different signs without using chips. These rules are applied to evaluate expressions. Extra practice examples are also provided, along with homework assigned from Castle Learning.
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This document provides instruction on using indirect measurement to find the height of objects like a flagpole or traffic light. It discusses setting up proportions between corresponding sides of similar triangles using shadows of different lengths cast by the object and another item of known height. Students are guided through example problems of writing and solving proportions to find unknown heights. The last page prompts students to outline the steps, materials, and initial information needed to indirectly measure the height of a school flagpole.
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This document outlines the procedures for a station review activity. Students will rotate through different stations to complete math problems and receive feedback on their work. Bonus points will be awarded based on completing problems quickly and accurately. Teachers will provide reminders to students to focus their communication only on the station tasks and not disrupt other students. An attachment includes a student handout with more details.
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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 equations
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.
Linear equations lesson 7 slope formula
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.
Module 4.5 lesson 10 scale area
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 lengths
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.
Linear equations lesson 6 slope
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 percent
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.
Module 4.5 lesson 6 scale map
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 lines
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.
Module 4.5 lesson 4 scale area problems
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 drawings
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 factor
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 equations
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.
Module 4.5 lesson 1 scale drawings
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.
Review for module 4 exam
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 integers
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 answers
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.
Module 4 lesson 13
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.
Module 4 lesson 12 relative error
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 problems
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.
More from Erik Tjersland (20)
Linear equations lesson 8 day 2 graphing linear equations
Linear equations lesson 8 day 2 graphing linear equations
Linear equations lesson 8 day 1 graphing linear equations
Linear equations lesson 8 day 1 graphing linear equations
Linear equations lesson 5 horizontal and vertical lines
Linear equations lesson 5 horizontal and vertical lines
Module 4.5 lesson 3 computing actual lengths from scale drawings
Module 4.5 lesson 3 computing actual lengths from scale drawings
Linear equations lesson 4 graphing linear equations
Linear equations lesson 4 graphing linear equations
Day 4 formulas
- 1. AIM: Using Formulas Do Now 1
- 2. A B C D A.) 31,750 g B.) 28.13 kg C.) 3.62 kg D.) 28,130g 2
- 3. Anticipatory Set: How have you seen formulas used in the real world? 3
- 4. Using Formulas- Formulas are equations that show the relationship between quantities that are represented by variables. The formula to find the area of a rectangle is Area = base • height 4
- 5. Draw a sketch and use the formula to solve the following problems. 1. The length of a rectangle is 4 and the width is 8. What is the area? 5
- 6. 2. The area of a rectangle is 48 and the length is 8. What is the width? 6
- 7. 3. The width of a rectangle is 9 and the area is 135. What is the length? 7
- 8. 1 d = rt, where d = distance, r = rate, and t = time If you travel at 4 feet per second for 138 second, what is the distance traveled? 8
- 9. 2 d = rt, where d = distance, r = rate, and t = time If you traveled 612 miles in 12 hours, what was the speed? 9
- 10. Egg Density Mass of egg = ____ Volume of Egg = ___ Density of Water = 1 g/mL Will a soda can float in water? Soda Density 10
- 11. 3 The formula for finding density of an object is , where d = density, m = mass, and v = volume. What is the density of an object if the volume is 4 cm3 and the mass is 64 grams? 11
- 12. 4 The density of silver is about 11 g/cm3. What would the mass of a silver sample be if the volume is 45cm3? 12
- 13. 5 You find the volume of a sample of copper to be 35 cm3. The density of copper is about 9 g/cm3. What would the mass of your sample? 13
- 14. BEFORE YOU LEAVE 14 ft 20 ft 1. Find the perimeter of the rectangle above 2. Write a formula to find the perimeter of any rectangle. Combine any like terms to express the formula in simplest form. Let P = Perimeter 14
- 15. BEFORE YOU LEAVE PART 2 3. What is the perimeter of a rectangle whose length is 16 inches and width is 2.5 inches? Use the formula. 4. What if the perimeter was 20 and the length was 3? Use the formula. 15
- 16. Mr. Tjersland's Math 7 Homework: Castle Homework #10 due tomorrow 16
- 17. AIM: Using Formulas d = rt, where d = distance, r = rate, and t = time If you travel at 4 feet per second for 138 second, what is the distance traveled? If you traveled 612 miles in 12 hours, what was the speed? 17
- 18. AIM: Using Formulas The formula for finding density of an object is , where d = density, m = mass, and v = volume. What is the density of an object if the volume is 4 cm3 and the mass is 64 grams? The density of silver is about 11 g/cm3. What would the mass of a silver sample be if the volume is 45cm3? 18