1: Number

1.A: demonstrate a number sense for whole numbers, common fractions, decimals and percents and apply arithmetic operations to solve problems with whole numbers, fractions, decimals and percents in everyday contexts.

Percent of Change
Percents, Fractions, and Decimals
Sums and Differences with Decimals

1.2: compare and order whole numbers

Rational Numbers, Opposites, and Absolute Values

1.3: represent an understanding of place value to the hundredths concretely, pictorially and symbolically

Comparing and Ordering Decimals

1.4: recognize, model and describe multiples, factors, composites and primes to 100 concretely, pictorially and symbolically

Chocomatic (Multiplication, Arrays, and Area)

1.5: represent and describe proper fractions, mixed numbers and equivalent fractions concretely, pictorially and symbolically

Part-to-part and Part-to-whole Ratios
Square Roots

1.6: compare and order proper fractions and decimals to the hundredths

Comparing and Ordering Decimals

1.7: estimate and apply arithmetic operations to whole numbers and decimals to the hundredths in everyday contexts

Multiplying with Decimals
Sums and Differences with Decimals

1.10: estimate and apply arithmetic operations to decimals to the hundredths concretely, pictorially and symbolically to solve problems in everyday contexts

Multiplying with Decimals

1.11: represent and explain the meaning of percentage and the relationship between percentage and decimals concretely, pictorially and symbolically

Part-to-part and Part-to-whole Ratios
Percents and Proportions
Percents, Fractions, and Decimals

1.12: assess the reasonableness of calculations and problem-solving strategies, using a variety of tools and/or strategies; e.g., estimation, mental mathematics, tables, graphs, calculators and/or computers

Estimating Sums and Differences

1.14: identify common uses of positive and negative numbers, including above/below sea level and temperatures

Adding on the Number Line
Integers, Opposites, and Absolute Values

2: Patterns and Relations

2.2: represent a rule for a pattern, make predictions using the rule and extend the rule

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences
Pattern Finder

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: use pre-algebra strategies to solve equations with one unknown and with whole numbers

Solving Algebraic Equations I
Solving Equations on the Number Line

3: Shape and Space

3.1: recognize and explain the meaning of length, width, height, depth, thickness, perimeter and circumference

Similar Figures

3.4: estimate, measure and calculate the perimeters of quadrilaterals and triangles to solve problems in everyday contexts

Perimeter and Area of Rectangles

3.5: estimate, measure and calculate the perimeter and area of irregular shapes by dividing them into parts, e.g., area, using manipulatives and diagrams

Area of Triangles

3.6: demonstrate the relationships among the circumference, radius and diameter of circles

Chords and Arcs
Circumference and Area of Circles
Inscribed Angles

3.7: calculate and solve everyday problems that involve mass (weight) and volume (capacity), using metric and Imperial units

Beam to Moon (Ratios and Proportions) - Metric
Prisms and Cylinders

3.9: use conversion charts, calculators and/or other tools to compare and convert common metric (SI) and Imperial linear units, as required in everyday contexts

Unit Conversions

3.12: convert between hours and minutes and between minutes and seconds, as required in everyday contexts

Unit Conversions

3.13: identify, classify, describe and construct models of 3-D objects; e.g., rectangular prisms, cubes, cylinders, cones and spheres

Surface and Lateral Areas of Prisms and Cylinders

3.14: design and construct nets for 3-D objects

Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

3.15: recognize and identify, from everyday observations and experiences, points, lines, parallel lines, intersecting lines, perpendicular lines, vertical lines, horizontal lines and line segments

Cat and Mouse (Modeling with Linear Systems) - Metric
Parallel, Intersecting, and Skew Lines
Points in the Coordinate Plane

3.17: recognize and label the quadrants on a grid

City Tour (Coordinates)
Function Machines 2 (Functions, Tables, and Graphs)
Linear Functions
Points in the Coordinate Plane
Slope

3.18: identify and plot points in the first quadrant of a coordinate grid, using ordered pairs

City Tour (Coordinates)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Points in the Coordinate Plane
Points, Lines, and Equations
Slope

3.19: reproduce a given geometric drawing on grid paper

City Tour (Coordinates)

3.C: describe motion in terms of slides (translation), turns (rotation) or flips (reflection) and use coordinates to describe and create 2-D objects, including tessellations.

Reflections

3.20: recognize and describe motion as a slide (translation), a turn (rotation) or a flip (reflection)

Absolute Value with Linear Functions
Circles
Dilations
Holiday Snowflake Designer
Reflections
Rock Art (Transformations)
Rotations, Reflections, and Translations
Similar Figures
Translations

4: Statistics and Probability

4.A: implement a plan for collecting, displaying and examining information and data gathered from appropriate sources within everyday contexts.

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Estimating Population Size
Polling: City
Real-Time Histogram
Stem-and-Leaf Plots

4.2: use a variety of strategies to interpret information from prepared graphs and/or charts; e.g.,

4.2.2: compare and examine pictures, bars, lines, symbols or markers

Forest Ecosystem
Movie Reviewer (Mean and Median)
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)

4.2.3: find trends or patterns

Solving Using Trend Lines
Trends in Scatter Plots

4.3: make predictions based on information and data

Polling: City

4.5: gather, organize and display information and data, using a variety of organizers/methods; e.g., journals, diagrams, charts, lists, graphs, spreadsheets, rank ordering and/or frequency charts

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Distance-Time Graphs - Metric
Graphing Skills
Histograms
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Stem-and-Leaf Plots

4.6: examine and discuss the results of simple probability experiments/experiences

Polling: City
Spin the Big Wheel! (Probability)

4.7: demonstrate and/or discuss that different outcomes may occur when repeating the same experiment and/or everyday activity

Polling: City
Spin the Big Wheel! (Probability)