GRADE 3 MATHEMATICS TIMELINE
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- Brittany Robbins
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1 This guide provides a full description of the mathematics objectives for Everyday Mathematics Grade 3 and correlates them to the New Jersey Core Curriculum Content s for Mathematics (NJCCC) for Grade 3. The Mathematical Process s: Problem Solving, Communication, Connections, Reasoning, Representations, and Technology, although not explicitly referenced, are integrated throughout the mathematics program. PACING GUIDE Month Lessons September/October Lessons November Lessons December Lessons January Lessons February Lessons March Lessons April Lessons May/June Lessons Month Objectives/Everyday Mathematics Sept.-Oct. 1a. Identify and use number patterns to solve problems (Lessons 1.2, 1.11) Number Sense A1. Use real life experiences, physical materials, and 1b. Count by 10s and 100s (Lesson 1.2) technology to construct meanings for numbers 1c. Apply place value concepts in 4- digit numbers (Lessons 1.2, 1.3) Whole numbers through hundred thousands A2. Demonstrate an understanding of whole number place value concepts 1d. Tell and show times to the nearest minute (Lesson 1.4) 1e. Calculate the values of combinations of bills and coins and write the total in dollarsand-cents notation (Lessons 1.9, 1.10) 1f. Find equivalent names for numbers (Lesson 1.6) 1g. Know addition facts (Lessons 1.3, 1.4, 1.6) B1. Develop the meanings of the four basic arithmetic operations by modeling and discussing a large variety of problems Addition and subtraction B5. Count and perform simple computations with money Cents notation Geometry and Measurement Units of Measurement D2. Select and use appropriate standard units of measure and measurement tools to solve real life problems Time
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3 Objectives/Everyday Mathematics Sept. Oct. 2a. Estimate answers to multi-digit addition and subtraction problems (Lessons 2.2, 2.7, 2.8 2b. Use basic facts to solve fact extensions (Lesson 2.2) Developing/Secure 2c. Complete What s My Rule? tables (Lesson 2.3) 2d. Know addition and subtraction facts (Lesson 2.1) 2e. Complete fact and number families (Lesson 2.1 2f. Solve addition and subtraction multi-digit number stories (Lessons 2.4, 2.5, 2.6, 2.9) 2g. Add multi-digit numbers (Lessons 2.7, 2.9) 2h. Subtract multi-digit numbers (Lesson 2.8) Number Sense A2. Demonstrate an understanding of whole number place value concepts B1. Develop the meanings of the four basic arithmetic operations by modeling and discussing a large variety of problems Addition and subtraction B4. Use efficient and accurate pencil-and-paper procedures for computation with whole numbers Addition of 3-digit numbers Subtraction of 3-digit numbers Estimation C2. Construct and use a variety of estimation strategies for estimating both quantities and the result of computations. Procedures D1. Understand and apply the properties of operations and numbers Patterns and Algebra Functions and Relationships B1. Use concrete and pictorial models to explore the basic concept of a function Input/output tables, T-charts
4 Objectives/Everyday Mathematics November 3a. Find the perimeter of a polygon (Lessons 3.4, 3.5) 3b. Find the area of a rectangular region divided into square units (Lessons 3.6, 3.7) 3c. Measure line segments to the nearest ¼ inch (Lessons 3.2, 3.3) 3d. Measure line segments to the nearest cm (Lesson 3.2) Geometry and Measurement Units of Measurement D2. Select and use appropriate standard units of measure and measurement tools to solve real life problems Length, fractions of an inch (¼, ½), mile, decimeter, kilometer Area square inch, square centimeter Measuring Geometric Objects E1. Determine the area of simple 2-dimensional shapes on a square grid E2. Determine the perimeter of simple shapes by measuring all of the sides
5 November Objectives/Everyday Mathematics 4a. Solve equal grouping number stories by using multiplication (Lessons 4.1, 4.2) 4b. Solve equal grouping and equal sharing number stories (Lessons 4.3, 4.4) 4c. Know multiplication facts from the first set of Fact Triangles (Lessons 4.6, 4.9) 4d. Know multiplication facts having 2, 5, or 10 as a factor (Lessons 4.5, 4.6) 4e. Complete multiplication/division fact families (Lessons 4.6, 4.9) 4f. Know multiplication facts having 0 or 1 as a factor (Lesson 4.5) B1. Develop the meanings of the four basic arithmetic operations by modeling and discussing a large variety of problems Multiplication: repeated addition, area/array Division: repeated subtraction, sharing B2. Develop proficiency with basic multiplication and division number facts using a variety of fact strategies (such as skip counting and repeated subtraction )
6 Objectives/Everyday Mathematics December 5a. Read, write, and compare 6- and 7- digit whole numbers (Lessons ) 5b. Read and write 3-digit decimals (Lesson 5.11) 5c. Compare and order decimals (Lessons ) 5d. Identify place value in decimals (Lessons 5.8, 5.9) 5e. Read and write 1- and 2-digit decimals (Lesson 5.11) Number Sense A1. Use real life experiences, physical materials, and technology to construct meanings for numbers Whole numbers through hundred thousands A2. Demonstrate an understanding of whole number place value concepts A4. Explore the extension of the place value system to decimals through hundredths A6. Compare and order numbers B2. Develop proficiency with basic multiplication and division number facts using a variety of fact strategies 5f. Know multiplication facts from the first set of Fact Triangles (Lessons ) 5g. Read, write, and compare whole numbers up to 5 digits (Lessons ) 5h. Identify place value in whole numbers up to 5 digits (Lessons 5.1, 5.2) January *Learning Goals that should be secure by the end of each unit appear in bold Objectives/Everyday Mathematics 6a. Identify, draw, and name line segments, lines, and rays (Lessons 6.1, 6.2) 6b. Draw parallel and intersecting line segments, lines, and rays (Lesson 6.2) 6c. Draw angles as records of rotations (Lesson 6.7) Geometry and Measurement Geometric Properties A2. Use properties of standard 3 dimensional and 2 dimensional shapes to identify, classify, and describe them 3-D figures cube, rectangular prism, sphere, cone, cylinder, and pyramid 2-D figures square, rectangle, circle, triangle, pentagon, hexagon, octagon 6d. Know multiplication facts from the first set of Fact Triangles (Lessons 6.2, , 6.12) 6e. Identify right angles (Lessons 6.3, 6.7, 6.8) 6f. Identify and name 2-D and 3-D shapes (Lessons , 6.11, 6.12) A3. Identify and describe relationships among 2 dimensional shapes Same size, same shape Lines of symmetry A4. Understand and apply concepts involving lines, angles, and circles Line, line segment, endpoint
7 6g. Identify symmetric figures and draw lines of symmetry (Lesson 6.9 B2. Develop proficiency with basic multiplication and division number facts using a variety of fact strategies (such as skip counting and repeated subtraction ) February Objectives/Everyday Mathematics 7a. Understand function and placement of parentheses in number sentences (Lessons 7.4, 7.5) 7b. Make ballpark estimates for sums and products (Lesson 7.7) 7c. Recognize and know square products (Lessons 7.1, 7.2) 7d. Know multiplication facts from the second set of Fact Triangles (Lessons 7.2, 7.3 7e. Solve extended multiplication facts to tens x tens (Lessons 7.6, 7.8) B1. Develop the meanings of the four basic arithmetic operations by modeling and discussing a large variety of problems Multiplication: repeated addition, area/array B2. Develop proficiency with basic multiplication and division number facts using a variety of fact strategies (such as skip counting and repeated subtraction ) Estimation C2. Construct and use a variety of estimation strategies for estimating both quantities and the result of computations Procedures D1. Understand and apply the properties of operations and numbers
8 March Objectives/Everyday Mathematics 8a. Compare and order fractions (Lesson 8.5) 8b. Convert between mixed numbers and fraction (Lesson 8.6 8c. Identify fractions on a number line (Lessons 8.3, 8.4) 8d. Find equivalent fractions for given fractions (Lessons 8.4, 8.5) 8e. Solve fraction number stories (Lesson 8.7) 8f. Identify fractional parts of a set (Lessons 8.1, 8.4) 8g. Identify fractional parts of a region Number Sense A1. Use real life experiences, physical materials, and technology to construct meanings for numbers Commonly used fractions (denominators of 2, 3, 4, 5, 6, 8, 10) as part of a whole, a subset of a set, and as a location on a number line
9 Grade Three Mathematics Curriculum March Objectives/Everyday Mathematics 9a. Solve number stories involving positive and negative integers (Lesson 9.13) 9b. Multiply multi-digit numbers by 1- or 2-digit numbers (Lessons 9.4, 9.5, 9.9, 9.11, 9.12) 9c. Find factors of a number (Lesson 9.6) 9d. Interpret remainders in division problems (Lesson 9.8) 9e. Solve extended multiplication facts to hundreds x hundreds (Lesson 9.1) 9f. Solve equal grouping and equal sharing number stories (Lessons 9.1, 9.5, 9.7, 9.9) B1. Develop the meanings of the four basic arithmetic operations by modeling and discussing a large variety of problems Multiplication: repeated addition, area/array Division: repeated subtraction, sharing B2. Develop proficiency with basic multiplication and division number facts using a variety of fact strategies (such as skip counting and repeated subtraction ) B4. Use efficient and accurate pencil and paper procedures for computation with whole numbers Multiplication of 2-digit numbers by 1-digit numbers
10 Objectives/Everyday Mathematics April-May 10a. Find the volume of rectangular prisms (Lessons 10.2, 10.3) 10b. Find the mean of a data set (Lesson 10.7) 10c. Find the median of a data set (Lesson 10.7 Data Analysis, Probability, and Discrete Mathematics Data Analysis A2. Read, interpret, construct, analyze, generate questions about, and draw inferences from displays of data Geometry and Measurement Units of Measure D2. Select and use appropriate standard units of measure and measurement tools to solve real-life problems 10d. Measure to the nearest centimeter and inch (Lesson 10.1) 10e. Know units of measure for length, weight, and capacity (Lessons ) 10f. Make a frequency table (Lesson 10.10) Measuring Geometric Objects E3. Measure and compare the volume of 3 dimensional objects using materials such as rice or cubes B2. Develop proficiency with basic multiplication and division number facts using a variety of fact strategies (such as skip counting and repeated subtraction ) 10g. Know multiplication facts (Lessons 10.2, 10.5, 10.6, h. Make a bar graph (Lesson 10.7) \
11 May-June Objective/Everyday Mathematics 11a. Understand and use the language of probability (Lesson 11.1) 11b. Use fractions to record probabilities of events (Lessons 11.4, 11.5) 11c. Use random draws to predict outcomes (Lesson 11.6) 11d. Collect and organize data for use in predicting outcomes (Lesson 11.7) 11e. Understand area model of probability and solve simple spinner problems (Lessons 11.4, 11.5, 11.7) Data Analysis, Probability, and Discrete Mathematics Data Analysis A2. Read, interpret, construct, analyze, generate questions about, and draw inferences from displays of data Probability B1. Use everyday events and chance devices, such as dice, coins, and unevenly divided spinners to explore concepts of probability Likely, unlikely, certain, impossible More likely, less likely, equally likely B2. Predict probabilities in a variety of situations What students think will happen (intuitive) Collect data and use that data to predict possibility (experimental)
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