NS: Number Sense

NS.1: Students compute with very large and very small numbers, positive integers, decimals, and fractions and understand the relationship between decimals, fractions, and percents. They understand the relative magnitudes of numbers:

NS.1.1: Estimate, round, and manipulate very large (e.g., millions) and very small (e.g., thousandths) numbers.

Rounding Whole Numbers (Number Line)
Target Sum Card Game (Multi-digit Addition)

NS.1.4: Determine the prime factors of all numbers through 50 and write the numbers as the product of their prime factors by using exponents to show multiples of a factor (e.g., 24 = 2 x 2 x 2 x 3 = 2³ x 3).

Factor Trees (Factoring Numbers)

NS.1.5: Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers.

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

NS.2: Students perform calculations and solve problems involving addition, subtraction, and simple multiplication and division of fractions and decimals:

NS.2.1: Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results.

Adding Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Subtracting Decimals (Base-10 Blocks)

NS.2.3: Solve simple problems, including ones arising in concrete situations, involving the addition and subtraction of fractions and mixed numbers (like and unlike denominators of 20 or less), and express answers in the simplest form.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fractions Greater than One (Fraction Tiles)

AF: Algebra and Functions

AF.1: Students use variables in simple expressions, compute the value of the expression for specific values of the variable, and plot and interpret the results:

AF.1.1: Use information taken from a graph or equation to answer questions about a problem situation.

Elevator Operator (Line Graphs)

AF.1.5: Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered pairs of integers on a grid.

City Tour (Coordinates)
Function Machines 2 (Functions, Tables, and Graphs)

MG: Measurement and Geometry

MG.1: Students understand and compute the volumes and areas of simple objects:

MG.1.3: Understand the concept of volume and use the appropriate units in common measuring systems (i.e., cubic centimeter [cm³], cubic meter [m³], cubic inch [in³], cubic yard [yd³]) to compute the volume of rectangular solids.

Balancing Blocks (Volume)

MG.1.4: Differentiate between, and use appropriate units of measures for, two- and three-dimensional objects (i.e., find the perimeter, area, volume).

Balancing Blocks (Volume)
Fido's Flower Bed (Perimeter and Area)

MG.2: Students identify, describe, and classify the properties of, and the relationships between, plane and solid geometric figures:

MG.2.1: Measure, identify, and draw angles, perpendicular and parallel lines, rectangles, and triangles by using appropriate tools (e.g., straightedge, ruler, compass, protractor, drawing software).

Fido's Flower Bed (Perimeter and Area)

SDAP: Statistics, Data Analysis, and Probability

SDAP.1: Students display, analyze, compare, and interpret different data sets, including data sets of different sizes:

SDAP.1.1: Know the concepts of mean, median, and mode; compute and compare simple examples to show that they may differ.

Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

SDAP.1.2: Organize and display single-variable data in appropriate graphs and representations (e.g., histogram, circle graphs) and explain which types of graphs are appropriate for various data sets.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

SDAP.1.4: Identify ordered pairs of data from a graph and interpret the meaning of the data in terms of the situation depicted by the graph.

City Tour (Coordinates)
Graphing Skills

SDAP.1.5: Know how to write ordered pairs correctly; for example, (x, y).

City Tour (Coordinates)

MR: Mathematical Reasoning

MR.1: Students make decisions about how to approach problems:

MR.1.1: Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.

Pattern Flip (Patterns)

MR.2: Students use strategies, skills, and concepts in finding solutions:

MR.2.1: Use estimation to verify the reasonableness of calculated results.

Target Sum Card Game (Multi-digit Addition)

MR.3: Students move beyond a particular problem by generalizing to other situations:

MR.3.1: Evaluate the reasonableness of the solution in the context of the original situation.

Reaction Time 2 (Graphs and Statistics)