# What should I Learn?

## Operations and Algebraic Thinking

Understand and know from memory how to multiply and divide numbers up to 10 x 10 fluently.

Solve word problems using addition, subtraction, multiplication, and division.

Begin to multiply numbers with more than one digit (e.g., multiplying 9 × 80).

## Number and Operations-Fractions

Understand fractions and relate them to the familiar system of whole numbers (e.g., recognizing that 3/1 and 3 are the same number).

## Number and Operations in Base Ten

Understand place value and properties of operations to perform multi-digit arithmetic, such as 10 x 2, 50 x 3, and 40 x 7.

## Measurement and Data

Measure and estimate weights and liquid volumes, and solve word problems involving these quantities.

Tell time and write time to the nearest minute.

Recognize area as a quality of two-dimensional regions.

Understand that rectangular arrays can be broken into identical rows or into identical columns by breaking rectangles into rectangular arrays of squares, students connect area to multiplication, and explain how multiplication is used to determine the area of a rectangle.

## Geometry

Reason about shapes (e.g., all squares are rectangles but not all rectangles are squares).

Find areas of shapes, and relate area to multiplication (e.g., why is the number of square feet for a 9-foot by 7-foot room given by the product 9 × 7?).

Understand the connection between equal parts of a shape being a unit of the whole.

## Operations and Algebraic Thinking

Use whole-number arithmetic to solve word problems, including problems with remainders and problems with measurements.

Add and subtract whole numbers quickly and accurately (numbers up to 1 million).

Multiply and divide multi-digit numbers in simple cases (e.g., multiplying 1,638 × 7 or 24 × 17, and dividing 6,966 by 6).

Gain familiarity with factors and multiples.

Generate and analyze patterns.

## Number and Operations-Fractions

Use equivalent fractions to understand and order fractions (e.g., recognize that 1⁄4 is less than 3⁄8 because 2⁄8 is less than 3⁄8).

Add, subtract, and multiply fractions in simple cases (such as 2 3⁄4 − 1 1⁄4 or 3 × 5⁄8), and solve related word problems.

Understand and compare simple decimals in terms of fractions (e.g., rewriting 0.62 as 62⁄100).

## Number and Operations in Base Ten

Generalize place value understanding for multi-digit whole numbers.

Use place value understanding and properties of operations to perform multi-digit arithmetic.

## Measurement and Data

Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

Represent and interpret data.

Geometric measurement: understand concepts of angle and measure angles.

## Geometry

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Measure angles and find unknown angles in a diagram.

## Operations and Algebraic Thinking

Write and interpret numerical expressions.

Analyze mathematical patterns and relationships

## Number and Operations-Fractions

Add and subtract fractions with like and unlike denominators (e.g., 21⁄4 – 11⁄3), and solve word problems of this kind.

Multiply fractions; divide fractions in simple cases; and solve related word problems (e.g., find the area of a rectangle with fractional side lengths; determine how many 1⁄3-cup servings are in 2 cups of raisins; determine the size of a share if 9 people share a 50-pound sack of rice equally or if 3 people share 1⁄2 pound of chocolate equally).

## Number and Operations in Base Ten

Understand the place value system.

Generalize the place-value system to include decimals, and calculate with decimals to the hundredths place (two places after the decimal).

Multiply whole numbers quickly and accurately, for example 1,638 × 753, and divide whole numbers in simple cases, such as dividing 6,971 by 63.

## Measurement and Data

Convert like measurement units within a given measurement system.

Make a line plot to display a data set with fractional units of measure and interpret the data to solve problems.

Geometric measurement: Understand the concept of volume, and solve word problems that involve volume.

## Geometry

Graph points on the coordinate plane to solve real-world and mathematical problems.

Classify two-dimensional figures into categories based on their properties.

# FREE Top Apps and Sites

**URL:**http://pbskids.org/apps/prankster-planet.html

The Pranksters are reversing all the words on Earth with their dastardly Reverse-a-Balls! Complete a series of eight quests to turn off all of the Reverse-a-Ball machines and save the words on Earth!

- Side-scrolling play and exploration in a 2D platformer world
- 8 unique quests with math curriculum woven throughout
- An avatar creator with many customization options
- Collectible rewards
- Math learning fun with graphs, charts and data analysis challenges

**URL:**http://gregtangmath.com/

Greg Tang Math strives to provide unparalleled math lessons for students.

**URL:**https://www.khanacademy.org/

Khan Academy is on a mission to give a free, world-class education to anyone, anywhere. Their personalized learning resources are available for all ages. Video learning segments are followed by practice activities.

**URL:**http://www.mathplayground.com/

More than 425 math games, logic puzzles, and brain workouts for students to practice their math skills.

**URL:**https://xtramath.org/#/home/index

Xtramath is like a daily math vitamin. An interactive online tool that helps students practice and master basic arithmetic facts, it’s quick and easy to use. Weekly emails provide progress reports for teachers and parents.

# Math Stories (Grades – 3, 4 & 5)

Math Attack!

*By J. Horton (5:26)*

The viruses are trying to infect the patient. To save the patient you must answer the addition, subtraction, multiplication and division equations correctly.

The Boy Who Loved Math the Improbable Life of Paul Erdȍs

*by Deborah Heiligman (18:33)*

Most people think of mathematicians as solitary, working away in isolation. But that wasn’t what Paul Erdos did. At the age of four, he could ask you when you were born and then calculate the number of seconds you had been alive. But he didn’t learn to butter his own toast until he turned 20. Instead, he traveled around the world, collaborating on an astonishing number of projects and changing the way people everywhere thought about math.

Math Curse

*by Jon Scieszka and Lane Smith (11:05)*

When the teacher tells her class that they can think of almost everything as a math problem, one student acquires a math anxiety which becomes a real curse.

Sunflowers Measure Up!

*By Dianne Ochiltree*

When the students in Mr. Gardner’s third-grade class plant sunflowers for their class project, they use measurements for every step.

Multiplying Menace the Revenge of Rumpelstiltskin

*by Pam Calvert*

Rumpelstiltskin is back! This time he’s making mischief with his multiplying stick.

Pigs Will Be Pigs

*by Amy Axelrod (9:28)*

The Pig family is hungry and Mr. Pig’s wallet is empty! The Pigs pitch in on a money hunt, finding coins and bills in drawers, pockets, and even socks.

Apple Fractions

*by Jerry Pallotta (9:44)*

Playful elves use a variety of different apples–including Granny Smiths, Cortlands, Golden Delicious, and Red Delicious–to teach kids all about fractions as they divide apples into halves, thirds, fourths, and more.

The Great Graph Contest

*by Loreen Leedy (6:39)*

When Gonk and Beezy disagree about which one makes the best graphs, Chester says that they need to have a **contest** so that he can pick the winner.

Fraction Action

*by Loreen Leedy (11:40)*

Romping through boldly colored panels of art, a congenial cast of animal characters helps introduce the concept of fractions.

Bunny Money

*by Rosemary Wells (7:15)*

Ruby hatches a well-intentioned plan to do something nice for her grandmother. Ruby takes her little brother, Max, along to buy Grandma a dazzling birthday present. But Max has ideas of his own, which include stopping for lunch and purchasing vampire teeth “”with oozing cherry syrup inside”” for Grandma.

The Doorbell Rang

*by Pat Hutchins (2:47)*

Each time the doorbell rings, there are more people who have come to share Ma’s wonderful cookies.

Give Me Half

*by Stuart J. Murphy (4:13)*

When a boy tries to eat a whole pizza without sharing half with his sister, it’s not pretty. Of course, she isn’t too keen on sharing her juice or cupcakes. With a little adult prodding, however, they soon learn the benefits of sharing and split everything in half, including clean-up chores.

The Grapes of Math

*by Greg Tang (8:42)*

This seminal picture book introduces children to a better way of learning math by encouraging them to use creativity and common sense to solve problems, rather than rote procedures and memorization.

What’s Your Angle Pythagoras?

*by Julie Ellis (10:55)*

Pythagoras’ curiosity takes him from Samos to Alexandria, where he meets a builder named Neferheperhersekeper, who introduces him to the right angle. While building, Pythagoras uses geometry to learn how to measure angles and discovers all he needs to know about right triangles.

Sir Cumference and the First Round Table a Math Adventure

*by Cindy Neuschwander (3:07)*

Join Sir Cumference, Lady Di of Ameter, and their son Radius for wordplay, puns, and problem solving in this geometry-packed math adventure. King Arthur was a good ruler, but now he *needs*a good ruler. What would you do if the neighboring kingdom were threatening war? Naturally, you’d call your strongest and bravest knights together to come up with a solution.

Division: A Remainder of One

*by Elinor J. Pinczes (9:04)*

Poor Joe! He wants to march in the parade, but every time the lines are uneven, he must stand aside. What’s **a** poor bug to do?

Grandfather Tang’s Story

*by Ann Tompert (9:25)*

Grandfather Tang and Little Soo create a story using their tangrams about two fox fairies who have the ability to change into the shapes of any animals they choose.

Caps for Sale

*by Esphyr Slobodkina (12:59)*

A tale of a peddler and a band of mischievous monkeys is filled with warmth, humor, and simplicity and also teaches children about problem and resolution.