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read and write numerals greater than a million
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The day after a telethon, the radio reports that about $2.1 million was raised. Explain why the value would be expressed in this way. What may have been the amount raised?
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use estimation strategies for quantities up to a million
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Estimate how many pages of your local telephone book are needed to list 10 000 names. Explain your estimation strategy. How can you check your prediction without counting 10 000 names? Carry out your plan and compare your prediction with your results. Use your work to predict the number of pages needed to list:
- 100 000 names
- 1 000 000 names
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distinguish relationships among multiples, factors, composites, and primes
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Use a Venn diagram to sort numbers from 1 ‚ 25
that are:
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represent positive powers of numbers concretely, pictorially, and symbolically
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Extend the pattern shown below to 44 and 45.
4 x 1 = 41 = 4
4 x 4 = 42 = 16
4 x 4 x 4 = 43 = 64
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use power, base, and exponent to represent repeated multiplication
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If the base-ten blocks represent the first four powers
of 10, what will the first four powers of 2 look like?
Use centicubes to construct 3-D models. Use your models to explain the shape and size of the fifth and sixth powers of 2.
Sketch a diagram of the six models, labelling the dimensions, and write the total number of centicubes used in each.
How will models representing the powers of 3 be
like the models you have sketched? How will they
be different?
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explain the meaning of integers by extending their counting to numbers less than 0
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A certain negative integer is:
- less than -3
- greater than -7
- farther from -7 than -3
What is the integer? Draw and label a number line to justify your answer. Make up another set of clues about a negative integer.
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identify practical applications of integers
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Explain how negative numbers are used to help describe the following:
- golf scores
- temperatures
- an example of your choice
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read and write numbers to thousandths
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Trevor's homework revealed this statement.
0.790 > 0.79
Is he correct? What model(s) or diagram(s) would you use to justify your answer?
Order these numbers from least to greatest.
| 0.499 | Ý2.66 |
 |  | 0.1 |
Construct a number line to help Trevor visualize your thinking. Label each number.
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demonstrate and explain the meaning of improper fractions and mixed numbers (positive) concretely and pictorially
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With the help of pattern blocks, and using the value of the yellow hexagon as one whole, make a pattern with a value of 2  .
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demonstrate and describe equivalent mixed numbers and improper fractions concretely and pictorially
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Hexagonal work tables can be separated into
half-tables that are trapezoidal in shape. James wants to make some hexagonal work tables. He has 13 half-tables.
How many work tables can he make?
Use pattern blocks to represent the trapezoidal and hexagonal tables and solve the problem. Draw a diagram of your solution.
Use this model to explain how  can be written as a mixed number.
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compare and order improper fractions, mixed numbers, and decimal fractions to thousandths
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Explain how you could order the following numbers from least to greatest, using a number line with the benchmarks of and 1.
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demonstrate and explain the meaning of ratio concretely and pictorially
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Dennis linked 10 cubes together in this order:
What colours are described by these ratios?
2:8
4:1
8:10
Suppose Dennis continued the pattern to cover a
10 x 10 grid. How would the ratios change? Use percent to describe:
- the green area
- the area not green
- the red area
Would it be true to write the following about the
yellow area?
20% = 0.20 =  = 
Explain.
Draw and colour a 5-cube train. Describe the colours in different mathematical ways.
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demonstrate and explain the meaning of percentage concretely and pictorially
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Let the largest possible square on an 11 x 11 geoboard have a value of 1. Construct a different (non-congruent) shape for each part named below.
0.25 on the square
 of the square
25% of the square
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Number (Number Concepts)
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