OA: Operations and Algebraic Thinking

1.1: Solve problems with whole numbers using the four operations.

OA.1: Students will… Interpret and write equations for multiplicative comparisons.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)

OA.2: Students will… Solve word problems involving multiplicative comparison using drawings and write equations to represent the problem, using a symbol for the unknown number.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)

OA.3: Students will… Determine and justify solutions for multi-step word problems, including problems where remainders must be interpreted.

OA.3.b: Determine reasonableness of answers for multi-step word problems, using mental computation and estimation strategies including rounding.

Number Line Frog Hop (Addition and Subtraction)
Target Sum Card Game (Multi-digit Addition)

1.2: Gain familiarity with factors and multiples.

OA.4: Students will… For whole numbers in the range 1 to 100, find all factor pairs, identifying a number as a multiple of each of its factors.

OA.4.a: Determine whether a whole number in the range 1 to 100 is a multiple of a given one-digit number.

Factor Trees (Factoring Numbers)

OA.4.b: Determine whether a whole number in the range 1 to 100 is prime or composite.

Factor Trees (Factoring Numbers)
Finding Factors with Area Models

1.3: Generate and analyze patterns.

OA.5: Students will… Generate and analyze a number or shape pattern that follows a given rule.

Function Machines 1 (Functions and Tables)
Pattern Flip (Patterns)

NBT: Operations with Numbers: Base Ten

2.1: Generalize place value understanding for multi-digit whole numbers.

NBT.6: Students will… Using models and quantitative reasoning, explain that in a multi-digit whole number, a digit in any place represents ten times what it represents in the place to its right.

Cannonball Clowns (Number Line Estimation)
Cargo Captain (Multi-digit Subtraction)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Whole Numbers with Base-10 Blocks

NBT.7: Students will… Read and write multi-digit whole numbers using standard form, word form, and expanded form.

Cannonball Clowns (Number Line Estimation)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Whole Numbers with Base-10 Blocks

NBT.8: Students will… Use place value understanding to compare two multi-digit numbers using >, =, and < symbols.

Comparing and Ordering Decimals
Treasure Hunter (Decimals on the Number Line)

NBT.9: Students will… Round multi-digit whole numbers to any place using place value understanding.

Cannonball Clowns (Number Line Estimation)
Rounding Whole Numbers (Number Line)

2.2: Use place value understanding and properties of operations to perform multi-digit arithmetic with whole numbers.

NBT.10: Students will… Use place value strategies to fluently add and subtract multi-digit whole numbers and connect strategies to the standard algorithm.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)
Whole Numbers with Base-10 Blocks

NBT.11: Students will… Find the product of two factors (up to four digits by a one-digit number and two two-digit numbers), using strategies based on place value and the properties of operations.

NBT.11.a: Illustrate and explain the product of two factors using equations, rectangular arrays, and area models.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)

NBT.12: Students will… Use strategies based on place value, properties of operations, and/or the relationship between multiplication and division to find whole-number quotients and remainders with one-digit divisors and up to four-digit dividends.

Factor Trees (Factoring Numbers)

NBT.12.a: Illustrate and/or explain quotients using equations, rectangular arrays, and/or area models.

Factor Trees (Factoring Numbers)
No Alien Left Behind (Division with Remainders)

NF: Operations with Numbers: Fractions

3.1: Extend understanding of fraction equivalence and ordering.

NF.13: Students will… Using area and length fraction models, explain why one fraction is equivalent to another, taking into account that the number and size of the parts differ even though the two fractions themselves are the same size.

NF.13.a: Apply principles of fraction equivalence to recognize and generate equivalent fractions.

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

NF.14: Students will… Compare two fractions with different numerators and different denominators using concrete models, benchmarks (0, ½, 1), common denominators, and/or common numerators, recording the comparisons with symbols >, =, or <, and justifying the conclusions.

NF.14.a: Explain that comparison of two fractions is valid only when the two fractions refer to the same whole.

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)

3.2: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

NF.15: Students will… Model and justify decompositions of fractions and explain addition and subtraction of fractions as joining or separating parts referring to the same whole.

NF.15.a: Decompose a fraction as a sum of unit fractions and as a sum of fractions with the same denominator in more than one way using area models, length models, and equations.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)

NF.15.b: Add and subtract fractions and mixed numbers with like denominators using fraction equivalence, properties of operations, and the relationship between addition and subtraction.

Fractions Greater than One (Fraction Tiles)
Improper Fractions and Mixed Numbers

NF.15.c: Solve word problems involving addition and subtraction of fractions and mixed numbers having like denominators, using drawings, visual fraction models, and equations to represent the problem.

Fraction Artist 2 (Area Models of Fractions)
Improper Fractions and Mixed Numbers

NF.16: Students will… Apply and extend previous understandings of multiplication to multiply a whole number times a fraction.

NF.16.a: Model and explain how a non-unit fraction can be represented by a whole number times the unit fraction.

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Modeling Fractions (Area Models)

NF.16.b: Extend previous understanding of multiplication to multiply a whole number times any fraction less than one.

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Modeling Fractions (Area Models)

NF.16.c: Solve word problems involving multiplying a whole number times a fraction using visual fraction models and equations to represent the problem.

Fraction Artist 2 (Area Models of Fractions)

3.3: Understand decimal notation for fractions, and compare decimal fractions.

NF.17: Students will… Express, model, and explain the equivalence between fractions with denominators of 10 and 100.

NF.17.a: Use fraction equivalency to add two fractions with denominators of 10 and 100.

Adding Fractions (Fraction Tiles)

NF.18: Students will… Use models and decimal notation to represent fractions with denominators of 10 and 100.

Fraction, Decimal, Percent (Area and Grid Models)

NF.19: Students will… Use visual models and reasoning to compare two decimals to hundredths (referring to the same whole), recording comparisons using symbols >, =, or <, and justifying the conclusions.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Treasure Hunter (Decimals on the Number Line)

M: Measurement

5.1: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

M.21: Students will… Select and use an appropriate unit of measurement for a given attribute (length, mass, liquid volume, time) within one system of units: metric - km, m, cm; kg, g, l, ml; customary - lb, oz; time - hr, min, sec.

M.21.a: Within one system of units, express measurements of a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table.

Cannonball Clowns (Number Line Estimation)

M.22: Students will… Use the four operations to solve measurement word problems with distance, intervals of time, liquid volume, mass of objects, and money.

M.22.a: Solve measurement problems involving simple fractions or decimals.

Cannonball Clowns (Number Line Estimation)
Elapsed Time
Measuring Motion
Measuring Volume
Road Trip (Problem Solving)
Weight and Mass

M.22.b: Solve measurement problems that require expressing measurements given in a larger unit in terms of a smaller unit.

Cannonball Clowns (Number Line Estimation)
Measuring Motion

M.22.c: Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.

Cannonball Clowns (Number Line Estimation)

M.23: Students will… Apply area and perimeter formulas for rectangles in real-world and mathematical situations.

Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)

5.2: Geometric measurement: understand concepts of angle and measure angles.

M.24: Students will… Identify an angle as a geometric shape formed wherever two rays share a common endpoint.

Investigating Angle Theorems

M.25: Students will… Use a protractor to measure angles in whole-number degrees and sketch angles of specified measure.

Investigating Angle Theorems

M.26: Students will… Decompose an angle into non-overlapping parts to demonstrate that the angle measure of the whole is the sum of the angle measures of the parts.

M.26.a: Solve addition and subtraction problems on a diagram to find unknown angles in real-world or mathematical problems.

Investigating Angle Theorems

G: Geometry

6.1: Draw and identify lines and angles, and identify shapes by properties of their lines and angles.

G.27: Students will… Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines, and identify these in two-dimensional figures.

Classifying Quadrilaterals
Classifying Triangles
Parallel, Intersecting, and Skew Lines

G.28: Students will… Identify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size.

G.28.a: Describe right triangles as a category, and identify right triangles.

Classifying Triangles

G.29: Students will… Define a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts.

G.29.a: Identify line-symmetric figures and draw lines of symmetry.

Quilting Bee (Symmetry)