BRENT ELEMENTARY SCHOOL MATH SCOPE & SEQUENCE GRADE: 3 TEACHERS: JoAnn Hill, Elisabeth Kraemer, Kelly Maschari

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1 DATES UNIT (FROM TERC) INVESTIGATIONS OR CONCEPTS TAUGHT CCSSM STANDARDS Unit 1: Hundreds, Tens, and Ones Working with 100 Recognizing and representing the place value of each digit Rounding whole numbers to the nearest 10 or 100 Finding different combinations of 100s, 10s, and 1s for a number Adding and subtracting multiples of 10 Solving addition problems with 2-digit numbers by using strategies that involve breaking numbers apart by place or adding one number in parts Solving addition problems with 2-digit numbers that involve more than 10 ones in the ones place and explaining the effect on the sum Finding the difference between a 2-digit number and 100.NBT.2: Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. Unit : Building 1,000 Addition Investigation : Finding the Difference Reading, writing, and sequencing numbers to 1,000 Using place value to determine the size of any numbers to 1,000 Constructing 1,000 from groups of 100 Recognizing and representing the groups of 10s in -digit numbers Estimating the sums of 2- and -digit numbers using knowledge of place value and known combinations Finding pairs of numbers that add to 100 Finding the difference between -digit numbers Solving addition on problems with 2- and -digit numbers by breaking numbers apart and recombining them Representing addition strategies Adding and subtracting multiples of 10 and 100 Developing strategies for solving addition problems by focusing on how each strategy starts.nbt.2: Add and Subtract Whole Numbers.NBT.1: Rounding (Do rounding after Unit - Investigation 1)

2 5 Unit 4: Linear Measurement Understanding and Finding Area Reviewing lengths of measurement Establishing measurement benchmarks Using U.S. and metric units to accurately measure length Understanding perimeter as the measure around the outside edges of a 2- dimensional figure Finding perimeter using standard units Creating different shapes with the same perimeter Finding the perimeter of an irregular shape Understanding that area is measured in square units Understanding that when measuring area, the space being measured must be completely covered with no gaps and overlaps Understanding that shapes with the same area can look different Finding the area of partially covered rectangles Finding the area of an irregular shape Designing a shape for a given area Finding area by counting or calculating whole and partial square units Using tiling to show in a concrete case that the area of a rectangle with wholenumber side lengths a and b + c is the sum of a b and a c Using area models to represent the distributive property in mathematical reasoning. Recognizing area as additive. Finding areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve problems.md.6: Measuring Area by Counting Unit Squares.MD.7a: Find the Area of Rectangles by Tiling.MD.8: Perimeter of Polygons

3 5 Unit 5: Things That Come in Groups Skip Counting and 100 Charts Investigation : Arrays Investigation 4: Understanding Division Understanding multiplication as combining equal groups Writing and solving multiplication problems in context Identifying the number of groups, the number in each group, and the product in a multiplication situation Understanding the relationship among skip counting, repeated addition, and multiplication Using and understanding multiplication notation Finding the multiples of the numbers 2,, 4, 5, 6, and 10 by skip counting Describing and comparing the characteristics of the multiples of a number Understanding that doubling (or halving) one factor in a multiplication expression doubles (or halves) the product Use arrays to model multiplication situations Using arrays to find factors of 2-digit numbers up to 50 Using arrays to identify characteristics of numbers, including prime and square numbers Using arrays to find a product by skip counting by one of its dimensions Breaking an array into parts to find the product represented by the array Identifying and learning multiplication combinations not yet known fluently Using known multiplication combinations to determine the product of more difficult combinations Understanding division as the splitting of a quantity into equal groups Using the inverse relationship between multiplication and division to solve problems Using multiplication combinations to solve division problems Using and understanding division notation Writing and solving division problems in context.nbt.: Multiply by Multiples of 10.O.A.1: Multiplication Models: Groups of Same Size.OA.: Multiplication and Division Fact Word Problems.OA.4: Unknowns in Multiplication and division number sentences.oa.7: Multiplication and Division Facts (results within 100).OA.2: Division Models.OA.: Multiplication and Division Fact Word Problems.OA.4: Unknowns in Multiplication and division number sentences.oa.7: Multiplication and Division Facts (results within 100) Unit 7: Sharing Brownies Understanding a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts Understanding a fraction as a number on the number line Representing fractions on a number line diagram.nf.1: Unit Fractions and Building Fractions.NF.2a: Fractions on Number Lines.NF.2b: Non-Unit Fractions on a Number Line

4 Many Ways to Make a Share Explaining equivalence of fractions in special cases Comparing fractions by reasoning about their size Expressing whole numbers as fractions, and recognizing fractions that are equivalent to whole numbers Comparing two fractions with the same numerator or the same denominator by reasoning about their size Recognizing that comparisons are valid only when the two fractions refer to the same whole Partitioning shapes into equal parts with equal areas Expressing the area of each part a a unit fraction of the whole.nf.ab: Equivalent Fractions, Number Lines, and Visual Models.NF.c: Write Whole Numbers as Fractions, Number Lines.NF.d: Compare Fractions with Same Numerator or Denominator by Reasoning About Size.G.2: Partition Shapes into Equal Areas Unit 2: Representing and Describing Categorical Data Representing and Describing Numerical Data Investigation : Collecting and Analyzing Measurement Data Describing and interpreting categorical data Using summaries such as almost all, very few, half, or more than half when discussing data Using data to compare groups Organizing categorical data in different ways to answer different questions Representing categorical data by using a picture or graph Reading and interpreting a bar graph Reading a scale on a graph with intervals larger than 1 Developing and revising a survey question Using a line plot, bar graph, or other representation to represent, read, and interpret ordered, numerical data Interpreting what the numbers and symbols on a line plot mean Developing a consistent scale to show where data are and are not most concentrated Generating measurement data by measuring lengths using rulers marked with halves and fourths of an inch Showing data by making a line plot, where the horizontal scale is marked off in appropriate units including whole numbers, halves, or quarters Measuring in inches.md.b: Draw a scaled picture graph and a scaled bar graph to represent a set of data set with with several categories.md.b.4: Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units

5 1 Week Unit 4: Investigation : Triangles. Quadrilaterals, And Angles 1 Week Unit 9: Liquid Volume & Mass Identifying the attributes of triangles: three sides, three vertices, and three angles Identifying the attributes of quadrilaterals: four sides, four vertices, and four angles Comparing the properties of squares and rectangles Determining the geometric moves needed (slides, flips, turns), to prove or disprove congruence between shapes Recognizing right angles Identifying a right angle as having a measure of 90 degrees Understanding angle size as the degree of turn Comparing the size of angles Measuring and estimating liquid volumes using standard units to grams, kilograms, and liters Measuring and estimating masses of objects using standard units to grams, kilograms, and liters Adding, subtracting, multiplying, or dividing to solve one-step word problems involving masses or volumes that are given in the same units to represent the problem.g.a.1: Reason with shapes and their attributes. MD.2: Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects. 5 Eureka Module 5: Fractions as Numbers on a Number Line Partitioning a Whole into Equal Parts Unit Fractions and Their Relation to the Whole Comparing Unit Fractions and Specifying the Whole Fractions on the Number Line Equivalent Fractions Comparison, Order, and Size of Fractions.NF.1: Unit Fractions and Building Fractions.NF.2a: Fractions on Number Lines.NF.2b: Non-Unit Fractions on a Number Line.NF.ab: Equivalent Fractions, Number Lines, and Visual Models.NF.c: Write Whole Numbers as Fractions, Number Lines.NF.d: Compare Fractions with Same Numerator or Denominator by Reasoning About Size

6 .G.2: Partition Shapes into Equal Areas 2 2 Eureka Module 2: Place Value and Problem Solving with Units of Measure Two- and Three-Digit Measurement Addition Using the Standard Algorithm Two- and Three-Digit Measurement Subtraction Using the Standard Algorithm Pet Shop Project Pairs of students will apply addition, subtraction, and multiplication skills while managing and operating their very own pet shops..nbt.2: Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction..nbt.1: Place Value.NBT.2: Add and Subtract Whole Numbers.NBT.: Multiply by Multiples of 10.OA.: Multiplication and Division Fact Word Problems.OA.7: Multiplication and Division Facts (results within 100)