Sentences with phrase «on algebraic thinking»

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Key words: equivalence, mobile problems, balance problems, pan balance, relationship, algebra, solve, unknowns, unknowns on both sides, balance problem, unknown, joke, logical thinking, multi-step problems, algebraic reasoning, puzzle, decode, worksheet, math, maths, mathematics, (unlock, untangle, understand).

This problem solving unit covering «Apply Algebraic Thinking» is one of 9 units focusing on 8 problem solving strategies plus a series of Mixed Problems in which students decide on the most appropriate strategy to solve each problem.

One would think based on how teacher evaluations are discussed in the media that there must be one correct answer and that the challenge is to decide, in an algebraic fashion which variables in what quantities equate to an effective teacher.

Treatment group teachers are engaged in two years (8 days per year) of CGI professional development workshops, provided by the Teachers Development Group, focused on the mathematical domains of number, operations, and algebraic thinking.

INCLUDES: 36 Student Activity Books (1 copy of each of the six titles per grade level, 32 - pages each) 4 Answer Cases 1 Teacher Guide FEATURES: Flexibility for task centers, independent or partner work, or one - on - one tutoring / remediation Clearly stated objective for each activity that allows you to differentiate Focus on foundational skills and concepts Engaging puzzle format for a fun challenge Immediate feedback for self - checking Titles: Grade 1: Number and Operations: Counting and Place Value Addition and Subtraction: Properties and Situations Addition and Subtraction: Strategies and Equations Addition and Subtraction: Beyond 20 Measurement and Data: Length, Time, and Analysis Geometry: Shapes and Attributes Grade 2: Addition and Subtraction: To 20 and Beyond Foundations of Multiplication: Equal Groups and Arrays Addition and Subtraction: Properties and Place Value Measurement and Data: Length, Time, and Analysis Measurement and Data: Time, Money, and Analysis Geometry: Shapes and Attributes Grade 3: Number and Operations: Multiply and Divide Multiply and Divide: Problem Solving Fractions: Fractions as Numbers Measurement and Data: Use and Interpret Data Geometric Measurement: Perimeter and Area Geometry: Shapes and Attributes Grade 4: Number and Operations: Whole Numbers Number and Operations Multi-Digit and Fractions Fractions: Equivalence and Ordering Fractions: Operations Measurement and Data: Convert and Solve Problems Geometry: Angles and Plane Figures Grade 5: Operations and Algebraic Thinking: Expressions and Patterns Number and Operations: Whole Numbers and Decimals Fractions: Add and Subtract Measurement and Data: Convert and Interpret Geometric Measurement: Volume Geometry: Graphing and 2 - D Figures Grade 6: Ratio and Proportions: Ratios and Problem Solving The Number System: Rational Numbers The Number System: Factors and Multiples Expressions and Equations: Write, Solve, and Analyze Geometry: Problem Solving Statistics and Probability: Variability and Displays

INCLUDES 1 Hands - On Standards Math Teacher Resource Guide Grade K with 43 lessons TOPICS Counting and Cardinality Counting On Counting 0 - 5 Number shapes Groups of 6 - 10 Estimate and count Arranging sets of objects Representing numbers with objects Comparing groups Equal groups More and fewer More than, less than, same as Order of numbers Operations and Algebraic Thinking Joining problems Using the plus and minus sign Separating problems Sums and differences to and from ten Decomposing numbers Number and Operations in Base Ten Compose and decompose numbers 11 - 19 Measurement and Data Nonstandard measurement of height Sorting by height and length Estimating and measuring length Sort by one or two attributes Determine the sorting rule Geometry Left and right Top, middle, and bottom Positions on a line Relative locations Inside and outside Before and after Plane shapes and real - life objects Geometric pictures and designs Attributes of plane shapes Cubes and spheres Exploring shape attributes Shape attributes riddlOn Standards Math Teacher Resource Guide Grade K with 43 lessons TOPICS Counting and Cardinality Counting On Counting 0 - 5 Number shapes Groups of 6 - 10 Estimate and count Arranging sets of objects Representing numbers with objects Comparing groups Equal groups More and fewer More than, less than, same as Order of numbers Operations and Algebraic Thinking Joining problems Using the plus and minus sign Separating problems Sums and differences to and from ten Decomposing numbers Number and Operations in Base Ten Compose and decompose numbers 11 - 19 Measurement and Data Nonstandard measurement of height Sorting by height and length Estimating and measuring length Sort by one or two attributes Determine the sorting rule Geometry Left and right Top, middle, and bottom Positions on a line Relative locations Inside and outside Before and after Plane shapes and real - life objects Geometric pictures and designs Attributes of plane shapes Cubes and spheres Exploring shape attributes Shape attributes riddlOn Counting 0 - 5 Number shapes Groups of 6 - 10 Estimate and count Arranging sets of objects Representing numbers with objects Comparing groups Equal groups More and fewer More than, less than, same as Order of numbers Operations and Algebraic Thinking Joining problems Using the plus and minus sign Separating problems Sums and differences to and from ten Decomposing numbers Number and Operations in Base Ten Compose and decompose numbers 11 - 19 Measurement and Data Nonstandard measurement of height Sorting by height and length Estimating and measuring length Sort by one or two attributes Determine the sorting rule Geometry Left and right Top, middle, and bottom Positions on a line Relative locations Inside and outside Before and after Plane shapes and real - life objects Geometric pictures and designs Attributes of plane shapes Cubes and spheres Exploring shape attributes Shape attributes riddlon a line Relative locations Inside and outside Before and after Plane shapes and real - life objects Geometric pictures and designs Attributes of plane shapes Cubes and spheres Exploring shape attributes Shape attributes riddles

INCLUDES 1 Hands - On Standards Math Teacher Resource Guide Grade 1 with 31 lessons TOPICS Operations and Algebraic Thinking Represent and solve addition and subtraction Apply properties of operations and work with addition and subtraction equations Add and subtract within 20 Number and Operations in Base Ten Understanding place value Use place value and properties to add and subtract Measurement and Data Measure lengths by iteration Tell and write time Represent and interpret data Geometry Compose shapes Partition circles and rectangles

INCLUDES 1 Hands - On Standards Math Teacher Resource Guide Grade 3 with 40 lessons TOPICS Operations and Algebraic Thinking Multiplying with arrays Multiplying by five Exploring multiplication and division Commutative property of multiplication Associative property of addition Distributive property Number and Operations in Base Ten Estimating the sum or difference Adding and subtracting Multiply by ten Multiplying with multiples of ten Number and Operations - Fractions Identify and write fractions Fractions and equivalent fractions on a number line Proper fractions on a number line Model equivalent fractions Whole numbers as fractions Comparing fractions Measurement and Data Telling time and elapsed time Add intervals of time Finding times after and before Measure weight Pictographs and bar graphs Finding area of squares, rectangles, and irregular figures Building and exploring perimeter Geometry Categorizing and partitioning shapes Resources Building Perimeter Sample LessOn Standards Math Teacher Resource Guide Grade 3 with 40 lessons TOPICS Operations and Algebraic Thinking Multiplying with arrays Multiplying by five Exploring multiplication and division Commutative property of multiplication Associative property of addition Distributive property Number and Operations in Base Ten Estimating the sum or difference Adding and subtracting Multiply by ten Multiplying with multiples of ten Number and Operations - Fractions Identify and write fractions Fractions and equivalent fractions on a number line Proper fractions on a number line Model equivalent fractions Whole numbers as fractions Comparing fractions Measurement and Data Telling time and elapsed time Add intervals of time Finding times after and before Measure weight Pictographs and bar graphs Finding area of squares, rectangles, and irregular figures Building and exploring perimeter Geometry Categorizing and partitioning shapes Resources Building Perimeter Sample Lesson a number line Proper fractions on a number line Model equivalent fractions Whole numbers as fractions Comparing fractions Measurement and Data Telling time and elapsed time Add intervals of time Finding times after and before Measure weight Pictographs and bar graphs Finding area of squares, rectangles, and irregular figures Building and exploring perimeter Geometry Categorizing and partitioning shapes Resources Building Perimeter Sample Lesson a number line Model equivalent fractions Whole numbers as fractions Comparing fractions Measurement and Data Telling time and elapsed time Add intervals of time Finding times after and before Measure weight Pictographs and bar graphs Finding area of squares, rectangles, and irregular figures Building and exploring perimeter Geometry Categorizing and partitioning shapes Resources Building Perimeter Sample Lesson

A team of 17 mathematics educators and middle and high school teachers read 859 articles on students» algebraic thinking and identified what might be useful for preservice teachers.

Understanding what is going on in students» minds is necessary to effectively help them learn algebraic thinking

This endorsement focuses on the pedagogy and instructional practices in all areas of mathematical domains including fractions, measurement, geometry, number sense and algebraic thinking.

Specifically, the PLC will focus on relating this standard to algebraic thinking and reasoning in service of teaching students and supporting families.

INCLUDES: 24 Student Activity Books (4 copies of each title, 32 - pages each) 8 Answer Cases 1 Teacher Guide FEATURES: Flexibility for whole - class practice, small - group guided practice, independent or partner work, learning stations Clearly stated objective for each activity that allow you to differentiate Focus on foundational skills and concepts Engaging puzzle format for a fun challenge Immediate feedback for self - checking Level 5 Titles: Operations and Algebraic Thinking: Expressions and Patterns Number and Operations: Whole Numbers and Decimals Fractions: Add and Subtract Measurement and Data: Convert and Interpret Geometric Measurement: Volume Geometry: Graphing and 2 - D Figures

INCLUDES: 6 Student Activity Books (1 copy of each title, 32 - pages each) 2 Answer Cases 1 Teacher Guide FEATURES: Flexibility for task centers, independent or partner work, or one - on - one tutoring / remediation Clearly stated objective for each activity that allows you to differentiate Focus on foundational skills and concepts Engaging puzzle format for a fun challenge Immediate feedback for self - checking Level 5 Titles: Operations and Algebraic Thinking: Expressions and Patterns Number and Operations: Whole Numbers and Decimals Fractions: Add and Subtract Measurement and Data: Convert and Interpret Geometric Measurement: Volume Geometry: Graphing and 2 - D Figures