Number Sense

1.1 Read and write rational numbers.

`www.harcourtschool.com/activity/rubber_forms_of_numbers/`

1.3 Identify and name numbers using place value (thousandths through hundred billions)

`www.harcourtschool.com/activity/rubber_forms_of_numbers/`

1.4 Compare, order and round rational numbers

round numbers to any given place (thousandths to hundred billions).

`www.harcourtschool.com/activity/elab2004/gr5/1.html`

1.5 Generate multiple equivalent representations of numbers (thousandths through hundred billions)

• 1,243.5 = 1 thousand 243 and 5 tenths.
• 800 + 2 = 802
• 73,246 = 732 hundreds + 4 tens + 6 ones
```http://www.mrnussbaum.com/placevaluepirates1.htm

http://www.sheppardsoftware.com/mathgames/placevalue/scooterQuest.htm

www.harcourtschool.com/activity/elab2004/gr5/1.html

http://www.aaamath.com/plc31-placevalue.html```

1.7  Read, write and use symbols to show relationships ( >, <, =, ≠ )between and among numbers (thousandths through hundred billions).

```www.harcourtschool.com/activity/elab2004/gr5/1.html

http://www.topmarks.co.uk/ordering-and-sequencing/caterpillar-ordering```

2.2/11.4 Add and subtract positive rational numbers.

2.3/11.2-3  Estimate sums and differences.

2.4  Add and subtract whole numbers and decimals (thousandths through hundred billions).

4.1/4.2  Divide whole numbers.

`http://www.kidsnumbers.com/long-division.php`

4.5  Estimate quotients.

5.1  Use mental math.

5.2  Recognize that division is the inverse of multiplication.

5.5  Notice and use multiples of 10 [e.g. 18,000 ÷ 90 = 1,800 ÷ 9 = (18 ÷ 9) x 100]

9.1 Decompose and classify numbers.

9.2 Classify numbers as prime or composite.

understand why 1 is neither prime nor composite.

`http://www.softschools.com/math/prime_numbers/`

9.3  Understand the relationships between numbers and their factors

write the prime factorization of a number with and without exponents

`http://www.toonuniversity.com/flash.asp?err=499&engine=14`

find the greatest common factor (GCF) of two numbers

```http://illuminations.nctm.org/ActivityDetail.aspx?ID=12–

http://nlvm.usu.edu/en/nav/frames_asid_202_g_2_t_1.html```

9.4 Understand the relationships between number and their multiples.

find the least common multiple (LCM) of two numbers.

```http://nlvm.usu.edu/en/nav/frames_asid_202_g_2_t_1.html

http://illuminations.nctm.org/ActivityDetail.aspx?id=29

http://www.mathplayground.com/multiples.html```

9.5 Write fractions and mixed numbers.

9.6 Generate multiple equivalent representations of numbers.

find equivalent fractions

write fractions, improper fractions, and mixed numbers in simplest form

understand the relationships between improper fractions and whole or mixed numbers.

```http://nlvm.usu.edu/en/nav/frames_asid_159_g_2_t_1.html

http://www.amblesideprimary.com/ambleweb/mentalmaths/fractotron.html```

9.8  Generate multiple equivalent representations of numbers.

9.9  Convert between and among fractions, decimals and percents.

```http://www.bbc.co.uk/skillswise/maths/games?page=1

http://illuminations.nctm.org/ActivityDetail.aspx?ID=11```

10.1  Add and subtract positive rational numbers.

10.2  Estimate sums and differences

10.3  Add and subtract fractions and mixed numbers with like and unlike denominators.

10.4 – 10.8  Draw a diagram to represent an addition or subtraction situation.

12.1 Estimate products.

12.2  Apply the Distributive Property.

12.3  Use the area model to represent multiplication with fractions.

12.4  Estimate quotients.

12.5  Use models to represent division with fractions.

relate division to multiplication using the inverse operation (reciprocal)

build on the understanding of division with whole numbers to divide whole numbers and fractions by fractions.

13.1  Multiply positive rational numbers

`http://www.harcourtschool.com/activity/elab2004/gr5/3.html`

13.2  Estimate products.

13.3  Apply the Distributive Property.

13.4  Use the area model to find the product of two decimals.

13.5  Build on an understanding of multiplication with whole numbers and fractions to multiply decimals.

14.3  Divide positive rational numbers.

14.4  Estimate quotients.

14.5  Use models to show the relationship between dividing fractions and decimals.

Build on an understanding of division with whole numbers to divide whole numbers by decimals.

19.1/19.2  Read, write and use symbols to show relationships (>, <, =, ≠)between and among fractions, decimals and percents.

Algebra

2.1/2.5 Communicate mathematical relationships using expressions and equations.

use variables to represent unknown quantities

apply Commutative, Associative and Identity Properties of Addition.

`http://www.sheppardsoftware.com/mathgames/makex/makeXAS2_level1.htm`

3.1 Communicate mathematical relationships using expressions.

use variables to represent unknown quantities.

apply Commutative, Associative, Identity and Zero Properties of Multiplication.

read, write and evaluate multiplication expressions.

3.2  Multiply whole numbers.

3.4  Estimate products.

3.5  Apply the Distributive Property.

`http://www.harcourtschool.com/activity/math_models2/English/04/gr5ch07_2.html`

3.6/3.7  Use Mental Math.

decompose numbers to facilitate mental math strategies [e.g. 26 x 4 = (25  x 4) + (1 x 4)]

notice and use multiples of 10 [e.g. 38 x 20 = (38 x 2) x 10]

`http://www.softschools.com/math/factors/least_common_multiples/lcm_with_venn_diagram/`

4.3  Choose operations to solve problems.

4.7 Communicate mathematical relationships using expressions and equations.

use variables to represent unknown quantities.

5.6 Apply properties of addition and multiplication to solve equations.

apply order of operations to simplify expressions.

`http://www.sheppardsoftware.com/mathgames/make24_level_one/make24AS2_level1.htm`

5.7  Create, use, and compare models representing mathematical situations.

understand the meaning of remainders in division contexts.

21.1  Represent, analyze and generalize relationships.

21.2  Use equations to solve problems involving unknowns.

21.3  Write an equation to represent situations.

21.4 Use function tables and equations to describe and extend patterns.

22.1 Identify integers and the absolute value of an integer.

22.2 Compare and order integers.

23.3ADJ  Identify locations using coordinate geometry.

Graph ordered pairs in the first quadrant of the coordinate plane

Graph equations in the first quadrant of the coordinate plane

Geometry

6.2 Estimate and measure length using customary units (e.g. foot, mile).

```http://www.funbrain.com/measure/index.html

http://www.quia.com/mc/65838.html

http://www.aaamath.com/mea69x11.htm

http://www.aaamath.com/mea69x12.htm

http://www.sheppardsoftware.com/mathgames/Numberballs_measurement_II/numberballsMeasurementII.htm```

6.3  Compare and convert length, weigh and capacity

6.4  Measure mass

6.5  Compare and convert length, mass, and capacity

16.1 Find the perimeter of a plane figure.

16.3ADJ  Find the area of rectangles and squares.

17.1 Identify and describe solid figures

```http://www.coolmath4kids.com/polyhedra/index.html

http://illuminations.nctm.org/ActivityDetail.aspx?ID=70```

17.6  Identify and visualize views (e.g. top, side) and features of solid figures (e.g. face, vertices)

```http://www.harcourtschool.com/activity/solid_figures

http://www.mathlearningcenter.org/web-apps/pattern-shapes/```

Use models to find volume of rectangular prisms (do not use formula).

```http://www.sheppardsoftware.com/mathgames/geometry/shapeshoot/VolumeShapesShoot.htm

Data Analysis & Probability

7.1 Choose an appropriate graph to display data

```http://nces.ed.gov/nceskids/createagraph/default.aspx

http://illuminations.nctm.org/Activity.aspx?id=4098```

7.3  Compare sets of data using different graphs (e.g. bar, double line).

```http://www.mathgoodies.com/lessons/toc_vol11.html
http://www.amblesideprimary.com/ambleweb/mentalmaths/grapher.html http://www.mathsisfun.com/data/line-graphs.html http://mrnussbaum.com/graph/line/```

7.4  Generate questions and answers from data sets and their graphical representations.

`http://www.harcourtschool.com/activity/great_graphs_5/`

8.2  Represent data using line plots.

8.5 Find the mean, median, mode, and range of a set of data.

draw conclusions based on a set of data.

```www.harcourtschool.com/activity/elab2004/gr5/29.html

http://www.bbc.co.uk/schools/ks2bitesize/maths/data/

http://www.amathsdictionaryforkids.com/   (Look up mean, median, mode and range)

http://www.shodor.org/interactivate/activities/expprobability/?version=1.5.0_13&browser=safari&vendor=Apple_Inc.20.2/20.3  Describe the probability of an event with words or numbers (e.g. impossible, 2/3, 1).