**What students will learn this year with activities and resources for each item**

This year we will learn four main areas of math: Numbers and Operations, Algebra, Geometry, and Data and Analysis.

Test text here

Overall resources:

- Activity: Moby Max (login is same as sumdog)
- Activity: Khan Academy (login is same as sumdog)
- Activity: Matific (login is same as sumdog)

Numbers and Operations

- 4.1.1.1 Demonstrate fluency with multiplication and division facts.
- Activity: Sumdog math competitions
- Activity: Xtra math basic math fact practice
- Activity: Manga High Math games (login is same as sumdog, school code is:
**185481**) - Activity: Number invaders
- Activity: Math magician
- Activity: Space racer
- Activity: Demolition division
- Activity: Drag race division
- Activity: Grand prix multiplication
- Activity: Meteor multiplication
- Activity: Ghost blasters (2 sums)
- Activity: Ambleweb’s multiplication machine
- Activity: Ambleweb’s subtraction machine
- Activity: Ambleweb’s division machine
- Activity: BBC’s multiplication tables
- Activity: Funbrain’s math baseball
- Activity: Mad minutes
- Paper practice with answers: Math fact flash cards double sided
- Paper practice without answers: Math fact flash cards single sided

- 4.1.1.2 Use an understanding of place value to multiply a number by 10, 100 and 1000.
- Activity: Unit 2 Math Playground’s calculator chaos
- Activity: Unit 2 Funbrain’s cookie dough reading and writing numbers
- Activity: Unit 2 Toon university’s place value to 100,000
- Activity: Unit 2 Megapenny Project
- Activity: Unit 2 Place value darts
- Activity: Unit 6 Divsion factory
- Activity: Unit 2 Ambleside’s big calculator
- Activity: Unit 2 Arcytech’s base-10 blocks
- Activity: Unit 2 Place value top-it
- Activity: Unit 2 Quia’s Place value expanded notation
- Activity: Unit 2 NLVM’s Number line arithmetic

- 4.1.1.3 Multiply multi-digit numbers, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms.
- Video: Teachertube’s Lattice multiplication
- Video: Khan Academy’s Lattice multiplication
- Video: Animated Classroom’s Lattice multiplication
- Video: Paul Shoecraft’s Lattice multiplication
- Video: Teachvid’s Partial products multiplication
- Video: Joy Miller’s Partial products multiplication
- Video: Teachertube’s Partial products multiplication with area model
- Video: Teachertube’s Partial products multiplication
- Video: Teachertube’s Traditional multiplication
- Video: Mason Mustang’s Traditional multiplication
- Video: Higgin’s Traditional multiplication
- Video: Paul Shoecraft’s Traditional multiplication
- Activity: What’s wrong with this problem?
- Paper practice with answers: Dad’s worksheets

- 4.1.1.4 Estimate products and quotients of multi-digit whole numbers by using rounding, benchmarks and place value to assess the reasonableness of results.
- 4.1.1.5 Solve multi-step real-world and mathematical problems requiring the use of addition, subtraction and multiplication of multi-digit whole numbers. Use various strategies, including the relationship between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
- 4.1.1.6 Use strategies and algorithms based on knowledge of
- place value, equality and properties of operations to divide multidigit whole numbers by one- or two-digit numbers. Strategies may include mental strategies, partial quotients, the commutative, associative, and distributive properties and repeated subtraction.
- Activity: Unit 3 NLVM’s visual division
- Video: Khan Academy’s Division 2
- Video: Khan Academy’s Division 3
- Video: Khan Academy’s Division 4
- Video: Mahalo’s Division
- Video: Khan Academy’s Partial quotients divsion
- Video: Khan Academy’s Partial quotients division 2
- Paper practice with answers: Dad’s worksheets

- 4.1.2.1 Represent equivalent fractions using fraction models such as parts of a set, fraction circles, fraction strips, number lines and other manipulatives. Use the models to determine equivalent fractions.
- Activity: Unit 7 Math Playground’s escape from fraction manor
- Activity: Unit 7 Math Playground’s tug team fractions game
- Activity: Unit 7 Buzz math’s numerators and denominators
- Activity: Unit 7 Buzz math’s pizza fractions (parts of wholes)
- Activity: Unit 7 Interactivate’s equivalent fractions
- Activity: Unit 7 Visual fractions
- Activity: Unit 7 NVLM’s pattern blocks
- Activity: Unit 7 Arcytech’s pattern blocks
- Activity: Unit 7 Interactivate’s equivalent fractions
- Activity: Unit 7 Visual fractions
- Paper activity with answers: Dad’s worksheets

- 4.1.2.2 Locate fractions on a number line. Use models to order and compare whole numbers and fractions, including mixed numbers and improper fractions.
- 4.1.2.3 Use fraction models to add and subtract fractions with like denominators in real-world and mathematical situations. Develop a rule for addition and subtraction of fractions with like denominators.
- 4.1.2.4 Read and write decimals with words and symbols; use place value to describe decimals in terms of thousands, hundreds, tens, ones, tenths, hundredths and thousandths.
- 4.1.2.5 Compare and order decimals and whole numbers using place value, a number line and models such as grids and base 10 blocks.
- 4.1.2.6 Read and write tenths and hundredths in decimal and fraction notations using words and symbols; know the fraction and decimal equivalents for halves and fourths.
- 4.1.2.7 Round decimals to the nearest tenth

Algebra

- 4.2.1.1 Create and use input-output rules involving addition, subtraction, multiplication and division to solve problems in various contexts. Record the inputs and outputs in a chart or table.
- Activity: Unit 3 Ambleweb’s read and write big numbers
- Activity: Unit 3 Math Playground’s weigh the Wangdoodles
- Activity: Unit 3 Math Playground’s balance scales
- Activity: Unit 3 Interactivate’s function machine
- Activity: Unit 3 Interactivate’s whole number cruncher
- Activity: Unit 3 Ambleweb’s function machine (for * and /)
- Activity: Unit 3 Harcourt math multiplication mystery
- Video: Teachertube’s Input output tables
- Video: Jason Emer’s Meat-a-morphosis

- 4.2.2.1 Understand how to interpret number sentences involving multiplication, division and unknowns. Use real-world situations involving multiplication or division to represent number sentences.
- 4.2.2.2 Use multiplication, division and unknowns to represent a given problem situation using a number sentence. Use number sense, properties of multiplication, and the relationship between multiplication and division to find values for the unknowns that make the number sentences true.

Geometry and Measurement

- 4.3.1.1 Describe, classify and sketch triangles, including equilateral, right, obtuse and acute triangles. Recognize triangles in various contexts. Name, describe, classify and sketch polygons.
- Activity: Unit 1 Math Play’s 2D shapes concentration
- Activity: Unit 1 Math Playground’s alien angles
- Activity: Unit 1 Math Play’s geometric figures game
- Activity: Unit 1 Math Play’s polygon or not
- Activity: Unit 1 Math Play’s polygon game
- Activity: Unit 8 Ambleweb’s equilateral triangles
- Activity: Unit 8 Math is fun’s interactive triangles
- Activity: Unit 8 Ambleweb’s isosceles triangles
- Activity: Unit 8 Ambleweb’s scalene triangles
- Video: Jedi Teacher’s Types of triangles
- Video: Drawstuffrealeasy’s Types of triangles
- Video: Math Antics types of triangles

- 4.3.1.2 Describe, classify and draw quadrilaterals, including squares, rectangles, trapezoids, rhombuses, parallelograms and kites. Recognize quadrilaterals in various contexts.
- Activity: Unit 8 Ambleweb’s quadrilaterals
- Activity: Unit 8 Ambleweb’s rectangles
- Video: Art of Problem Solving’s quadrilaterals
- Video: Nelson Computer’s quadrilaterals
- Video: Maria Kero’s quadrilaterals 5 ways to confirm a parallelogram
- Video: Maria Kero’s quadrilaterals
- Video: Mahalo’s quadrilaterals
- Video: Maria Kero’s more quadrilaterals
- Video: Math Antics quadrilaterals

- 4.3.2.1 Measure angles in geometric figures and real-world objects with a protractor or angle ruler.
- 4.3.2.2 Compare angles according to size. Classify angles as acute, right and obtuse.
- 4.3.2.3 Understand that the area of a two-dimensional figure can be found by counting the total number of same size square units that cover a shape without gaps or overlaps. Justify why length and width are multiplied to find the area of a rectangle by breaking the rectangle into one unit by one unit squares and viewing these as grouped into rows and columns.
- 4.3.2.4 Find the areas of geometric figures and real-world objects that can be divided into rectangular shapes. Use square units to label area measurements.
- 4.3.3.1 Apply translations (slides) to figures.
- 4.3.3.2 Apply reflections (flips) to figures by reflecting over vertical or horizontal lines and relate reflections to lines of symmetry.
- 4.3.3.3 Apply rotations (turns) of 90˚ clockwise or counterclockwise.
- 4.3.3.4 Recognize that translations, reflections and rotations preserve congruency and use them to show that two figures are 4 congruent.

Data Analysis

- 4.4.1.1 Use tables, bar graphs, timelines and Venn diagrams to display data sets. The data may include fractions or decimals.

Understand that spreadsheet tables and graphs can be used to display data.

Note: The number like “4.1.1.1” refers to the MN benchmark number and the number like “Unit 1” refers to the Everyday Math unit.

Source: Minnesota Department of Education, Math Standards (2007 version–valid until ~2015)