Read and write positive rational numbers
1.2 Read and write positive rational numbers.
1.4 Identify and name numbers using place value (ones through hundred millions)
1.5 Generate multiple equivalent representations of numbers (ones through hundred millions)
- 1,000 = 100 tens
- 800 + 2 = 802
- 73, 246 = 732 hundreds + 4 tens + 6 ones
2.1 Compare and order positive rational numbers.
http://www.321know.com/g41c_ox1.htm http://pbskids.org/cyberchase/games/numbersense/ http://www.321know.com/g41d_ox1.htm
2.2/2.3 Read, write and use symbols to show relationships ( >, <, = ) between and among numbers.
2.5 Round whole numbers to millions.
4.9 Choose operations to solve problems
Draw models to solve problems.
6.1 Multiply whole numbers
6.2 Estimate Products
6.3 Use mental math.
6.4 Use math drawings to model multiplication as combining groups of equal size, as repeated addition and as an array.
6.6 Compose and decompose numbers to facilitate mental math strategies.
[e.g. 26 x 4 = (25 x 4) + (1 x 4)]
11.1 Divide whole numbers
11.3 Estimate quotients
11.5 Recognize that division is the inverse of multiplication
Notice and use multiples of 10 [e.g. 18,000 ÷ 90 = 1,800 ÷ 9 = (18 ÷ 9) x 100]
19.1/19.7 Read and write positive rational numbers.
generate multiple equivalent representations of numbers.
19.2 Read and write fractions and mixed numbers.
19.3 Use models to find equivalent fractions (do not use a formula).
Write fractions in simplest form.
http://www.aaamath.com/fra66hx2.htm http://www.sheppardsoftware.com/mathgames/fractions/memory_equivalent1.htm http://nlvm.usu.edu/en/nav/frames_asid_105_g_2_t_1.html
19.4 Compare and order positive rational numbers.
Locate fractions and mixed numbers on a number line.
Determine the size of a fraction relative to 1/2.
20.1 Estimate sums and differences
20.2 Add fractions and mixed numbers with like denominators.
Subtract fractions and mixed numbers with like denominators.
21.1 Identify and name decimal numbers using place value.
21.3 Read, write and model decimal amounts greater than one.
21.4 Write fractions and decimals that name the same amount.
http://www.quia.com/mc/65724.html http://www.amblesideprimary.com/ambleweb/mentalmaths/fracto.html http://www.mrnussbaum.com/deathdecimals.htm
21.6 Compare and order positive rational numbers.
read, write and use symbols to show relationships ( >, <, = ) between and among decimal numbers (through hundredths).
22.1 Round positive rational numbers.
locate fractions and mixed numbers on a number line.
round decimal numbers to a given place.
22.2 Add and subtract positive rational numbers.
22.3 Estimate sums and differences.
22.4/22.5 Add and subtract decimal numbers (through hundredths).
3.1 Add and subtract positive rational numbers.
3.2 Apply Commutative, Associative and Zero Properties of Addition.
3.3 Estimate sums and differences.
3.5 Find a difference by adding up on a number line.
3.6/3.7/3.8 Add and subtract whole numbers and decimals (to the hundredths place).
4.1 Apply Commutative, Associative, and Zero Properties of Multiplication.
http://www.aaamath.com/pro74bx2.htm http://www.coolmath.com/prealgebra/06-properties/02-properties-commutative-multiplication-01 http://www.math-play.com/math-basketball-properties-of-multiplication/math-basketball-properties-of-multiplication.html
4.2 – 4.5 Use mental math
compose and decompose numbers to facilitate mental math strategies [ e.g. 6 x 4 = 2 x (3 x 4)].
model multiplication as combining groups of equal size, as repeated addition and as an array/area model.
model division as separating groups of equal size, as repeated subtraction and as an array/area model.
recognize that division is the inverse of multiplication (make connections among fact families).
4.8 Understand the meaning of remainders in division with whole numbers.
4.9 Select and apply appropriate strategies to solve problems.
Choose operations to solve problems
Draw models to solve problems
5.1 Communicate mathematical relationships using expressions and equations.
5.2 Apply order of operations to simplify expressions
5.3 Use variables to represent unknown quantities.
5.4 Read, write, evaluate and compare expressions (include ≥ and ≤).
5.6 Read, write and solve equations
Use function tables and equations to describe and extend patterns.
7.1 Estimate products.
7.2 Apply the Distributive Property.
7.3 Use mental math.
7.4 Compose and decompose numbers to facilitate mental math strategies. [e.g. 52 ÷ 2 = (40 ÷ 2) + (12 ÷ 2)]
7.5 Notice and use powers and multiples of 10 [e.g. 90 x 200 = (9 x 10) x (2 x 100) = (9 x 2) x (10 x 100) = 18 x 1000]
8.1 Estimate quotients.
8.2 recognize that division is the inverse of multiplication
8.3/8.4 use math drawings to model division (groups of equal size, repeated subtraction, array, area model)
8.5 Compose and decompose numbers to facilitate mental math strategies [e.g. 52 ÷ 2 = (40 ÷ 2) + (12 ÷ 2)]
8.6 Understand the meaning of remainders in division with whole numbers.
9.1 Divide whole numbers
Recognize that division is the inverse of multiplication
9.2 Estimate quotients
9.4 Use mental math.
Compose and decompose numbers to facilitate mental math strategies. [e.g. 104 ÷ 2 = (100 + 4) ÷ 2 = (100 ÷ 2) + (4 ÷ 2)]
Notice and use powers and multiples of 10 [e.g. 18,000 ÷ 90 = 18,000 ÷ (10 × 9) = (18,000 ÷ 10) ÷ 9 = 1,800 ÷ 9]
9.5 Select and apply appropriate strategies to solve problems. [NUM] [SS 4.1.3f DK 1&2]
Choose operations to solve problems
Draw models to solve problems DCA-M #2 window opens
14.2 Select and apply appropriate strategies to solve problems.
organize data in a table to solve problems.
describe and extend patterns to solve problems.
12.2 Compare length and weight
12.4 Convert length and weight.
12.7 Metric units of measure.
12.8 Compare length, mass, and capacity.,
12.9 Convert length, mass, and capacity.
13.2 Find elapsed time.
16.1 – 16.5 Describe two-dimensional shapes.
draw, identify, classify and label characteristics of two-dimensional figures (e.g. parallel, ray).
identify, classify and compare polygons (e.g. triangle, quadrilateral).
16.6 Identify congruent shapes.
17.1 Identify simple transformations.
17.2 Find patterns to solve problems.
18.1 Find Perimeter and Area of two-dimensional shapes.
18.2 Find the perimeter of a polygon.
18.3 Find the area of a rectangle.
18.5 Identify and Describe Solid Figures.
identify three-dimensional shapes according to properties.
build a geometric model (net) to solve problems.
http://www.coolmath4kids.com/polyhedra/index.html http://illuminations.nctm.org/ActivityDetail.aspx?ID=70 http://www.harcourtschool.com/activity/solid_figures http://www.hbschool.com/justforkids/math/elab/samplepages/g4a12.htm
24.1 Identify locations using coordinate geometry.
graph ordered pairs in the first quadrant of the coordinate plane.
http://www.mathplayground.com/locate_aliens.html http://www.mathplayground.com/spaceboyrescue.html http://www.oswego.org/ocsd-web/games/BillyBug/bugcoord.html http://www.softschools.com/math/geometry/graphing_ordered_pairs/
Data Analysis & Probability
14.3 Understand data.
Represent data using line plots.
Draw conclusions based on a set of data.
14.4 Find the mean, median, mode and range for a set of whole numbers.
http://www.321know.com/g418_sx1.htm http://www.321know.com/g418_sx1.htm http://www.321know.com/g418_sx2.htm http://www.bbc.co.uk/schools/ks2bitesize/maths/data/ http://www.amathsdictionaryforkids.com/ (Look up mean, median, mode and range) http://illuminations.nctm.org/ActivityDetail.aspx?ID=20415.1 Compare different representations of the same data. http://www.amblesideprimary.com/ambleweb/mentalmaths/grapher.html
15.2 Generate questions and answers from data sets and their graphical representations.
15.3 Make predictions based on a set of data.
23.2 Use organized lists to find all the possible combinations of given items.
23.3 Describe the probability of an event with words or numbers (e.g. impossible, 2/3, 1).
23.4 Predict outcomes in a probability experiment.