Hands on Math for Early Elementary
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The document discusses hands-on math activities for kindergarten students focusing on number sense, patterns, and algebraic thinking. It describes activities using manipulatives to help students represent, compare, and order numbers. Other activities address identifying, duplicating, and extending patterns using objects. The document emphasizes building foundations for algebraic concepts like functions through concrete experiences with patterns, relationships between numbers, and using math language.
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This curriculum map outlines the essential concepts, skills, activities, and assessments for 3rd grade mathematics over the school year. From September to October, students will learn addition and subtraction of 3-digit numbers through strategies like rounding, estimating, and regrouping. From October to December, the focus is on multiplication and division, including interpreting situations, properties, and solving word problems. Students will also learn to measure area from December to January by finding the area of rectangles and composing figures. Fractions will be covered from January to March, where students will describe, compare, and represent fractions. Finally, measurement and data will be addressed in two parts, with graphing and data displayed covered from March to April, and geometry and
SOW for year 7
The document provides an outline for a teaching week on functional mathematics for year 7 students. It includes topics such as numbers, fractions, decimals, measurement, and area/perimeter. The topics and outcomes are listed along with instructional approaches and strategies using examples, activities, and resources to explain key concepts in numbers, operations, and measurement.
SOW for year 7
The document provides an overview of topics and learning outcomes for a 7th grade functional mathematics teaching week. It includes instruction on:
1. Numbers - reading, writing, representing, and comparing numbers up to millions.
2. Fractions - representing, comparing, adding, and subtracting fractions.
3. Combined operations - performing multi-step calculations involving addition, subtraction, multiplication, and division.
The document outlines instructional approaches and strategies as well as recommended resources for teaching each topic.
Common Core Trajectory
The document provides an overview of operations and algebraic thinking standards from kindergarten through 8th grade. It shows that in the early grades, standards focus on representing numbers, addition, subtraction and basic multiplication/division. In later grades, standards expand the scope of numbers and introduce concepts like ratios, proportions, expressions and patterns. Students are expected to apply mathematical operations to increasingly complex word problems and equations over time.
Algebra_Day2.ppt
This document provides an annotated bibliography for a professional development seminar on algebraic thinking in grades 3-5. It lists 11 recommended books and articles about developing number sense and algebraic reasoning with elementary students. Some of the key topics covered in the references include representing mathematical relationships with equations, developing conceptual understanding of equality and properties of operations, using story contexts and multiple representations to model algebraic situations, and introducing variables. The document also includes example tasks and activities from the references to illustrate how these ideas can be taught in the elementary classroom.
WEEK 8.docx
This document contains a daily lesson log for a 7th grade mathematics class. The lesson covers algebraic expressions, properties of real numbers, linear equations, and inequalities in one variable. The lesson objectives are to differentiate between equations and inequalities, illustrate linear equations and inequalities, and find solutions to linear equations and inequalities. The lesson content includes differentiating equations and inequalities, linear equations and inequalities in one variable, and solving linear equations and inequalities. Learning resources and procedures are outlined for reviewing concepts, examples, practice, and application. Formative assessments are used to check student understanding.
DLP 10 Q1 W8.docx
This document contains a daily lesson log/plan for a mathematics class covering polynomial equations. The lesson plan outlines objectives, topics, materials, procedures and activities for teaching polynomial equations over the course of a week. Key points covered include identifying polynomial equations, writing polynomial terms in descending order, determining the degree and coefficients of polynomials, solving polynomial equations using factoring and synthetic division, and writing polynomial equations given their roots. Assessment activities include writing examples of solving polynomial equations and problems involving polynomials.
DLL3 MATH 9 WEEK 7.docx
This document is a daily lesson log for a 9th grade mathematics class taught by Angela Camille P. Cariaga from April 3-7, 2023. The lesson focused on the key concepts of quadrilaterals and triangle similarity. Students learned to investigate, analyze, and solve problems involving quadrilaterals and triangle similarity. Throughout the week, students illustrated similarity of figures, reviewed and continued learning about similarity of polygons and figures, and took a quiz. Activities included observing similar figures, solving proportions, drawing similar shapes, and identifying examples of similarity in daily life. The lesson aimed to help students understand that two polygons are similar if their corresponding angles are congruent and corresponding sides are proportional.
Visualizing the Ratio of Two Quantities.
Is able to apply the four fundamental operations involving decimals and ratio and proportion in mathematical problems and real-life situations.
PD Slide Show
This document outlines a professional development program to help teachers better understand proportional reasoning needed for ratios, proportions, and rates. It will:
1) Examine common ways of working with ratios and identify student misconceptions with ratio problems.
2) Connect ratios to topics in elementary, algebra, geometry, and more using examples and frameworks.
3) Highlight the multiplicative nature of ratios and proportions, and how equivalent ratios can be created through partitioning and iterating units.
The basic concept of sets
The document discusses integers and their properties. It defines integers as numbers that can be written without fractions or decimals, such as 21, 4, and -2048, but not 9.75 or √2. Integers include natural numbers, zero, and their negatives. They form the smallest group containing natural numbers under addition. Integers also form a ring with unique homomorphisms to other rings, characterizing their fundamental nature.
RATIO NAD PROPORTION FOR CAT , MAT , MBA , BANKING , RAILWAYS , GOVERNMENT RE...
RATIO NAD PROPORTION FOR CAT , MAT , MBA , BANKING , RAILWAYS , GOVERNMENT RECRUITMENT EXAMINATION BY SOURAV SIR'S CLASSES 9836793076
Business mathematics is a very powerful tools and analytic process that resul...
Business mathematics is a powerful analytical tool that can result in optimal solutions despite limitations. The document lists the names and IDs of 7 group members working on topics related to permutations, combinations, number systems, set theory, and linear programming. It provides examples and definitions of permutations, combinations, and the differences between them.
Course Organizer
This document provides an overview of the key concepts and skills covered in an 8th grade mathematics course, including solving problems involving statistics, proportions, probability, percents, area, volume, and using different representations of numbers and data. It discusses understanding proportional relationships and how changes in dimensions affect perimeter, area and volume. It also covers using transformations on a coordinate plane and using geometry and probability to model the physical world.
Grade 4 fractions lesson1
Fractions form a number system that includes whole numbers and numbers between whole numbers. Fractions can be written as a/b, where a and b are whole numbers and b is not zero. Conceptual understanding of fractions requires representing them using words, models and symbols and making connections between representations. Fractions are dense, meaning there is always a fraction between any two fractions.
A Problem Solving Approach To Mathematics For Elementary School Teachers
The document summarizes key concepts about addition and subtraction of whole numbers:
1) It defines addition of whole numbers using set models and as the union of two disjoint finite sets. The sum is the cardinal number of the combined set.
2) It describes the number line model for addition, showing how to represent addends as vectors on the number line and find their sum.
3) It defines less than and greater than relations using the number line, and discusses ordering whole numbers.
4) It introduces important properties of whole number addition, including closure, commutativity, associativity, and the identity property.
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RATIO NAD PROPORTION FOR CAT , MAT , MBA , BANKING , RAILWAYS , GOVERNMENT RE...
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The document discusses highly engaging learning opportunities provided by Michelle Strong that are research-based and hands-on. Teachers praise the summer institute and materials for providing helpful ideas, activities, and a different way to think about math teaching that has benefited both teachers and students. Teachers recommend the program to others and say the presenters, Renee and Michelle, are experts who make learning easy, fun, and engaging.
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