Demonstrate an understanding of place value for numbers: • greater than one million • less than one thousandth.
Solve problems involving large numbers, using technology.
Demonstrate an understanding of factors and multiples by: • determining multiples and factors of numbers less than 100 • identifying prime and composite numbers • solving problems involving multiples.
Relate improper fractions to mixed numbers.
Demonstrate an understanding of ratio, concretely, pictorially and symbolically.
Demonstrate an understanding of percent, (limited to whole numbers) concretely, pictorially and symbolically.
What Percentage Is Illustrated?
Convert Between Percents, Fractions and Decimals
Compare Percents to Fractions and Decimals
Compare Ratios
Percents of Numbers and Money Amounts
Percents of Numbers
Constant of Variation
Sale Prices
Unit Prices: Which Is the Better Buy?
Which Is the Better Coupon?
Calculate Tip, Markup and Commission
Demonstrate an understanding of integers, concretely, pictorially and symbolically.
Demonstrate an understanding of multiplication and division of decimals (1-digit whole number multipliers and 1-digit natural number divisors).
Explain and apply the order of operations, excluding exponents, with and without technology (limited to whole numbers).
Demonstrate an understanding of the relationships within tables of values to solve problems.
Represent and describe patterns and relationships using graphs and tables.
Represent generalizations arising from number relationships using equations with letter variables.
Demonstrate and explain the meaning of preservation of equality concretely, pictorially and symbolically.
Demonstrate an understanding of angles by: • identifying examples of angles in the environment • classifying angles according to their measure • estimating the measure of angles using 45°, 90 and 180° as reference angles • determining angle measures in degrees • drawing and labelling angles when the measure is specified.
Demonstrate that the sum of interior angles is: • 180° in a triangle • 360° in a quadrilateral.
Develop and apply a formula for determining the: • perimeter of polygons • area of rectangles • volume of right rectangular prisms.
Construct and compare triangles, including: • scalene • isosceles • equilateral • right • obtuse • acute in different orientations.
Describe and compare the sides and angles of regular and irregular polygons.
Perform a combination of translation(s), rotation(s) and/or reflection(s) on a single 2-D shape, with and without technology, and draw and describe the image.
Perform a combination of successive transformations of 2-D shapes to create a design, and identify and describe the transformations.
Identify and plot points in the first quadrant of a Cartesian plane using whole number ordered pairs.
Perform and describe single transformations of a 2-D shape in the first quadrant of a Cartesian plane (limited to whole number vertices).
Create, label and interpret line graphs to draw conclusions.
Select, justify and use appropriate methods of collecting data, including: • questionnaires • experiments • databases • electronic media.
Graph collected data and analyze the graph to solve problems.
Interpret Pictographs
Create Pictographs
Interpret Line Plots with Up to 5 Data Points
Interpret Line Plots
Interpret Line Plots with Numbers Up to 40
Create Line Plots
Create Line Plots II
Create Frequency Tables
Interpret Bar Graphs
Create Bar Graphs Using Tables
Create Bar Graphs
Interpret Double Bar Graphs
Create Double Bar Graphs Using Tables
Interpret Histograms
Create Histograms
Demonstrate an understanding of probability by: • identifying all possible outcomes of a probability experiment • differentiating between experimental and theoretical probability • determining the theoretical probability of outcomes in a probability experiment • determining the experimental probability of outcomes in a probability experiment • comparing experimental results with the theoretical probability for an experiment.