### 1: Number

#### 1.A: demonstrate a number sense for whole numbers, common fractions, mixed numbers, decimals, percents and ratios; explore integers and apply arithmetic operations to solve problems in everyday contexts.

Percent of Change

#### 1.3: recognize, model and describe, concretely, pictorially and symbolically:

1.3.1: multiples; e.g., lowest common multiple for pairs of numbers less than 10

Finding Factors with Area Models

1.3.2: factors; e.g., greatest common factor for pairs of numbers less than 25

Finding Factors with Area Models

1.3.3: composites

Finding Factors with Area Models

1.3.4: prime factorizations

Finding Factors with Area Models

#### 1.4: write a whole number as:

1.4.2: scientific notation

Unit Conversions 2 - Scientific Notation and Significant Digits

#### 1.7: generate and verify equivalent fractions to solve problems that involve adding and subtracting fractions with unlike denominators

Fractions with Unlike Denominators

#### 1.11: estimate and calculate mean (average) in relation to everyday contexts

Describing Data Using Statistics

Mean, Median, and Mode

Stem-and-Leaf Plots

#### 1.12: estimate and calculate percents to solve everyday problems

Percent of Change

#### 1.13: use rates to estimate, calculate and compare prices

Household Energy Usage

#### 1.14: compare and order positive and negative numbers, using appropriate tools; e.g., a number line or a thermometer

Comparing and Ordering Decimals

Rational Numbers, Opposites, and Absolute Values

### 2: Patterns and Relations

#### 2.A: use relationships to summarize, generalize and extend patterns to understand the environment and solve everyday problems.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

#### 2.1: identify, describe and summarize patterns and relationships in spoken and written form

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

#### 2.3: create expressions and rules to describe, complete and extend patterns and relationships

Arithmetic Sequences

Finding Patterns

Geometric Sequences

#### 2.B: use informal and concrete representations of equality and operations to solve problems in everyday contexts.

Solving Two-Step Equations

Using Algebraic Expressions

#### 2.5: read and graph relationships and draw conclusions in everyday contexts

Absolute Value with Linear Functions

Quadratics in Polynomial Form

Reaction Time 1 (Graphs and Statistics)

### 3: Shape and Space

#### 3.A: use measurement concepts, appropriate tools and results of measurement to solve problems in everyday contexts, including:

3.A.3: surface area

Surface and Lateral Areas of Pyramids and Cones

#### 3.2: use conversion charts, calculators and/or other tools to compare and convert a variety of metric (SI) units

Unit Conversions

#### 3.4: use conversion charts, calculators and/or other tools to compare and convert a variety of Imperial units of measure

Unit Conversions

#### 3.6: estimate, measure and calculate areas of quadrilaterals and triangles to solve problems in everyday contexts

Perimeter and Area of Rectangles

#### 3.8: estimate, measure and calculate the circumference, radius and diameter of circles to solve problems in everyday contexts

Circumference and Area of Circles

#### 3.13: sketch 3-D objects and skeletons with and without grids

Surface and Lateral Areas of Prisms and Cylinders

#### 3.15: relate reflections to lines and planes of symmetry

Holiday Snowflake Designer

#### 3.16: draw and classify triangles according to the measurements of their angles; e.g. acute, obtuse, scalene

Classifying Triangles

#### 3.C: create and examine patterns and designs that incorporate symmetry, tessellations, translations and reflections.

Holiday Snowflake Designer

#### 3.18: create, examine and describe designs, using translations (slides), reflections (flips) and rotations (turns)

Holiday Snowflake Designer

### 4: Statistics and Probability

#### 4.A: develop and implement a plan for collecting, displaying and examining data and information used in everyday applications.

Box-and-Whisker Plots

Correlation

Describing Data Using Statistics

Estimating Population Size

Polling: City

Real-Time Histogram

Stem-and-Leaf Plots

#### 4.1: read, interpret and communicate information represented in graphs, charts and other collection tools

Describing Data Using Statistics

Reaction Time 1 (Graphs and Statistics)

#### 4.2: collect, organize and display data and information, by hand and/or using technology, in a variety of ways; e.g., tables, charts, bar or line graphs, frequency diagrams, broken-line graphs

Describing Data Using Statistics

Histograms

Stem-and-Leaf Plots

#### 4.3: make conclusions and predictions based on data and information analysis

Describing Data Using Statistics

Polling: City

Real-Time Histogram

#### 4.4: examine sets of data, draw conclusions and make comparisons

Polling: City

Real-Time Histogram

#### 4.6: examine the distribution of a set of data, using smallest and largest value, frequency, value in the middle and patterns

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Polling: City

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

Correlation last revised: 1/22/2020