OA: Operations and Algebraic Thinking

1.1: Represent and solve problems involving multiplication and division.

OA.1: Students will… Illustrate the product of two whole numbers as equal groups by identifying the number of groups and the number in each group and represent as a written expression.

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

OA.2: Students will… Illustrate and interpret the quotient of two whole numbers as the number of objects in each group or the number of groups when the whole is partitioned into equal shares.

No Alien Left Behind (Division with Remainders)

OA.3: Students will… Solve word situations using multiplication and division within 100 involving equal groups, arrays, and measurement quantities; represent the situation using models, drawings, and equations with a symbol for the unknown number.

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

OA.4: Students will… Determine the unknown whole number in a multiplication or division equation relating three whole numbers.

Factor Trees (Factoring Numbers)

1.2: Understand properties of multiplication and the relationship between multiplication and division.

OA.5: Students will… Develop and apply properties of operations as strategies to multiply and divide.

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

OA.6: Students will… Use the relationship between multiplication and division to represent division as an equation with an unknown factor.

Factor Trees (Factoring Numbers)

1.3: Multiply and divide within 100.

OA.7: Students will… Use strategies based on properties and patterns of multiplication to demonstrate fluency with multiplication and division within 100.

OA.7.a: Fluently determine all products obtained by multiplying two one-digit numbers.

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

1.4: Solve problems involving the four operations and identify and explain patterns in arithmetic.

OA.8: Students will… Determine and justify solutions for two-step word problems using the four operations and write an equation with a letter standing for the unknown quantity. Determine reasonableness of answers using number sense, context, mental computation, and estimation strategies including rounding.

Cargo Captain (Multi-digit Subtraction)
Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)

OA.9: Students will… Recognize and explain arithmetic patterns using properties of operations.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Function Machines 1 (Functions and Tables)
Number Line Frog Hop (Addition and Subtraction)
Pattern Flip (Patterns)

NBT: Operations with Numbers: Base Ten

2.1: Use place value understanding and properties of operations to perform multi-digit arithmetic.

NBT.10: Students will… Identify the nearest 10 or 100 when rounding whole numbers, using place value understanding.

Rounding Whole Numbers (Number Line)

NBT.11: Students will… Use various strategies to add and subtract fluently within 1000.

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

2.2: Develop understanding of fractions as numbers.

NBT.13: Students will… Demonstrate that a unit fraction represents one part of an area model or length model of a whole that has been equally partitioned; explain that a numerator greater than one indicates the number of unit pieces represented by the fraction.

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

NBT.14: Students will… Interpret a fraction as a number on the number line; locate or represent fractions on a number line diagram.

NBT.14.a: Represent a unit fraction (1/b) on a number line by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts as specified by the denominator.

Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)

NBT.14.b: Represent a fraction (a/b) on a number line by marking off a lengths of size (1/b) from zero.

Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)

NBT.15: Students will… Explain equivalence and compare fractions by reasoning about their size using visual fraction models and number lines.

NBT.15.a: Express whole numbers as fractions and recognize fractions that are equivalent to whole numbers.

Equivalent Fractions (Fraction Tiles)

NBT.15.b: Compare two fractions with the same numerator or with the same denominator by reasoning about their size (recognizing that fractions must refer to the same whole for the comparison to be valid). Record comparisons using < , >, or = and justify conclusions.

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

DA: Data Analysis

3.1: Represent and interpret data.

DA.16: Students will… For a given or collected set of data, create a scaled (one-to-many) picture graph and scaled bar graph to represent a data set with several categories.

DA.16.a: Determine a simple probability from a context that includes a picture.

Probability Simulations

DA.17: Students will… Measure lengths using rulers marked with halves and fourths of an inch to generate data and create a line plot marked off in appropriate units to display the data.

Reaction Time 1 (Graphs and Statistics)

M: Measurement

4.1: Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.

M.18: Students will… Tell and write time to the nearest minute; measure time intervals in minutes (within 90 minutes).

M.18.a: Solve real-world problems involving addition and subtraction of time intervals in minutes by representing the problem on a number line diagram.

Elapsed Time

M.19: Students will… Estimate and measure liquid volumes and masses of objects using liters (l), grams (g), and kilograms (kg).

M.19.a: Use the four operations to solve one-step word problems involving masses or volumes given in the same metric units.

Measuring Volume
Weight and Mass

4.2: Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

M.20: Students will… Find the area of a rectangle with whole number side lengths by tiling without gaps or overlays and counting unit squares.

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

M.21: Students will… Count unit squares (square cm, square m, square in, square ft, and improvised or non-standard units) to determine area.

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

M.22: Students will… Relate area to the operations of multiplication using real-world problems, concrete materials, mathematical reasoning, and the distributive property.

Balancing Blocks (Volume)
Chocomatic (Multiplication, Arrays, and Area)
Perimeter and Area of Rectangles

M.23: Students will… Decompose rectilinear figures into smaller rectangles to find the area, using concrete materials.

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

4.3: Geometric measurement: Recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.

M.24: Students will… Construct rectangles with the same perimeter and different areas or the same area and different perimeters.

Fido's Flower Bed (Perimeter and Area)

M.25: Students will… Solve real-world problems involving perimeters of polygons, including finding the perimeter given the side lengths and finding an unknown side length of rectangles.

Fido's Flower Bed (Perimeter and Area)

G: Geometry

5.1: Reason with shapes and their attributes.

G.26: Students will… Recognize and describe polygons (up to 8 sides), triangles, and quadrilaterals (rhombuses, rectangles, and squares) based on the number of sides and the presence or absence of square corners.

G.26.a: Draw examples of quadrilaterals that are and are not rhombuses, rectangles, and squares.

Classifying Quadrilaterals