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
Graphing Skills
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