← All Standards

Grade 4

• Geometry

  • 4.G.A.1
  • 4.G.A.2
  • 4.G.A.3

• Measurement & Data

  • 4.MD.A.1
  • 4.MD.A.2
  • 4.MD.A.3
  • 4.MD.B.4
  • 4.MD.C.5
  • 4.MD.C.5.a
  • 4.MD.C.5.b
  • 4.MD.C.6
  • 4.MD.C.7

• Number & Operations: Base Ten

  • 4.NBT.A.1
  • 4.NBT.A.2
  • 4.NBT.A.3
  • 4.NBT.B.4
  • 4.NBT.B.5
  • 4.NBT.B.6

• Number & Operations: Fractions

  • 4.NF.A.1
  • 4.NF.A.2
  • 4.NF.A.2.a
  • 4.NF.A.2.b
  • 4.NF.B.3
  • 4.NF.B.3.a
  • 4.NF.B.3.b
  • 4.NF.B.3.c
  • 4.NF.B.3.d
  • 4.NF.B.4
  • 4.NF.B.4.a
  • 4.NF.B.4.b
  • 4.NF.B.4.c
  • 4.NF.C.5
  • 4.NF.C.6
  • 4.NF.C.7

• Operations & Algebraic Thinking

  • 4.OA.A.1
  • 4.OA.A.2
  • 4.OA.A.3
  • 4.OA.B.4
  • 4.OA.C.5
  • 4.OA.C.6

Arizona Math Standard: 4.OA.C.5

Generate a number pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself and explain the pattern informally (e.g., given the rule “add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers).

Gr 3-5

Gr 1-4

Crossing Every Bridge Exactly Once (aka Eulerian Paths)

How can you cross each bridge in this city exactly once?

Gr 2-4

Math Curiosity: Magic Triangles

Can you make each side of this triangle add up to 9 using the digits 1-6?

Gr 1, 2, 3, 4, 8

How Many Will There Be? Earthworm

Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.

Gr 3-5

How Many Will There Be? Courtyard

Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.

Gr 2-6

How Many Will There Be? Checkerboard

Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.

Gr 3-5

How Many Will There Be? Crosses

Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.

Gr 1-5

How Many Will There Be? Squares in Squares

Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.

Gr 2-5

Find The Pattern: Multiply Fractions

What if you set the stage for students to discover how to multiply fractions?

Gr 3, 4, 5, 7

Fizz Buzz: A Counting and Divisibility Game

Ready for a tricky counting and divisibility game?

Gr 1-4

How Many Ways: Fractions Multiply 2/3

How many different ways can you make this fraction multiplication statement true using only the digits one through nine?

Gr 1, 2, 3, 4, 5, 7

How Many Will There Be? Pyramids

Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.

Gr 2-4

How Many Will There Be? Sliced Circles

Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.

Gr 1-5

How Many Will There Be? Xs and Os

Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.

Gr 1-7

How Many Will There Be? Desks

Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.

Gr 2-5

How Many Will There Be? Stairs

Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.

Gr 1-5

How Many Will There Be? Flowers

These flowers sure are getting bigger faster! How large will they be in step 10? What about step 50?

Gr 1-6

Math Curiosity: Klauber’s Triangle

In 1932, a leading authority on rattlesnakes, Laurence Klauber, discovered a startling pattern within a triangle of primes.

Gr 1-5

Math Curiosity: Ulam Spiral

What if we make a huge spiral of numbers and then highlight only the primes? Well, a bunch of weird patterns show up!

Gr 1-4

Math Curiosity: A Pattern Packed Triangle

Pascal’s pattern-packed triangle is a potent puzzle for pupils to ponder.

Gr 3-5

Math Curiosity: Goldbach’s Conjecture

Can any even number be written as the sum of two primes? Goldbach thought so, but we haven’t proven it… yet!

Gr 1-5

Evens and Odds – Addition and Subtraction

When we’re adding and subtracting, do evens make odds into evens? Do odds make evens odd? Which one has… more power!?

Gr 1, 2, 3, 4, 7

Parentheses: How big of a change can they make!?

Two tiny parentheses. One expression. How big of a change can they make? Bigger than you think.

Gr 3, 5, 6, 7

How Many Ways: 2 Digit ÷ 1 Digit = 1 Digit

How many different ways can you make this math statement true using only the digits one through nine?

Gr 2-6

Calculators, Patterns, and Multiplying By Decimals

Before teaching students the procedure for multiplying with decimals, how much can they intuitively glean from a structured play session with calculators?

Gr 3-7

Rounding Numbers (But Not To 10)

What could we possibly do to make rounding more interesting for students who already get it? In this series, students consider how they might round to values other than “the nearest 10.” How, for example, do we round to the nearest 9? 7? 15?

Gr 3, 4, 7

Math Curiosity: Four Squares

Every positive integer can be written as the sum of (at most) four perfect squares!

Gr 1, 2, 3, 4, 8

Math Curiosity: Magic Squares

Imagine a 3×3 square in which every row, column, and diagonal have the same sum. That’s a magic square!

Gr 1, 2, 3, 4, 7

Math Curiosity: Odds & Squares

Why does the sum of the first 5 odds also equal 5 squared?

Gr 1, 2, 3, 4, 6

Math Curiosity: Waring’s Conjecture

So, can you write every odd (greater than 3) as the sum of three primes?

Gr 1-5

Math Curiosity: Primes and Squares

Can any perfect square be written as the sum of two primes?

Gr 1, 2, 3, 4, 5, 6, 8

Math Curiosity: Legendre’s Conjecture

It seems like there’s always a prime number between two perfect squares… but is this always the case!?

Gr 3, 4, 5, 6, 8

Math Curiosity: Collatz Conjecture

The Collatz Conjecture: start with any number and get to 1 using just two rules. It seems to always work…

Gr 1-6