Mathematics Grade 4 15 min

Number patterns: mixed review

Number patterns: mixed review

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Introduction & Learning Objectives

Learning Objectives Identify the rule in a number pattern involving addition, subtraction, multiplication, or division. Extend a given number pattern by at least three terms. Find a missing term in the middle of a number sequence. Describe the rule of a pattern using words (e.g., 'add 5 then subtract 2'). Differentiate between increasing and decreasing patterns. Create their own number pattern given a specific rule. Have you ever noticed the beat in your favorite song or the way petals are arranged on a flower? 🎶 That's a pattern! Numbers can have cool patterns, too. In this lesson, we will be super sleuths and investigate all different kinds of number patterns. We'll learn how to find the secret rule that connects the numbers, whether it's adding,...
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Key Concepts & Vocabulary

TermDefinitionExample PatternA set of numbers or objects that follow a specific rule and are arranged in a particular order.2, 4, 6, 8... (The pattern is adding 2 each time). SequenceAn ordered list of numbers.5, 10, 15, 20, 25 is a sequence. TermA single number in a sequence.In the sequence 3, 6, 9, 12, the number 9 is the third term. RuleThe operation (like adding, subtracting, multiplying, or dividing) that describes how to get from one term to the next in a pattern.In 50, 45, 40, 35..., the rule is 'subtract 5'. Increasing PatternA pattern where each term is greater than the term before it. The numbers get bigger.10, 20, 30, 40... (The rule is 'add 10'). Decreasing PatternA pattern where each term is less than the term before it. The numbers get smaller.100, 90, 80...
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Core Formulas

Addition Rule Next Term = Previous Term + c Use this when the numbers in the sequence are getting bigger by the same amount. 'c' is the constant number you add each time. Subtraction Rule Next Term = Previous Term - c Use this when the numbers in the sequence are getting smaller by the same amount. 'c' is the constant number you subtract each time. Multiplication Rule Next Term = Previous Term * c Use this when the numbers in the sequence are getting bigger very quickly. 'c' is the number you multiply by each time. Division Rule Next Term = Previous Term / c Use this when the numbers in the sequence are getting smaller very quickly. 'c' is the number you divide by each time.

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Sample Practice Questions

Challenging
What is the next term in this growing pattern? 1, 3, 6, 10, 15, __
A.20
B.21
C.19
D.22
Challenging
A sunflower grows following a pattern. Week 1 it is 4 cm tall. Week 2 it is 8 cm tall. Week 3 it is 16 cm tall. If this pattern continues, how tall will it be in Week 5?
A.64 cm
B.24 cm
C.32 cm
D.48 cm
Challenging
Find the two missing terms in this sequence: 4, __, 12, 16, __, 24
A.6, 18
B.10, 22
C.5, 17
D.8, 20

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