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LESSON PLAN

Algebraic Relationships and One-Step Equations

A
Apothem Team
Grade 4 · Algebra & Patterning
LESSON AT A GLANCE
Warm-up
5 min
Explore
15 min
Consolidate
10 min
Practice
12 min
Exit ticket
3 min

Warm-up

Camping trip challenge: 5 students are splitting the cost of equipment equally. Total cost: 175.Howmucheach?Writetheequation:175/5=n.Solve:35.Eachpersonpays175. How much each? Write the equation: 175/5 = n. Solve: 35. Each person pays 35. Now: if they also need 2 bags of trail mix per person, how many bags total? 5x2=10. Two equations in one context.

Explore

Equation sort and solve: 12 cards with equations using all four operations (3 of each type). Students sort by operation type, solve each, verify each, and write one word problem that matches each equation. The word-problem writing requires understanding the equation structure.

Consolidate

Practice

Students solve 8 one-step equations (2 per operation), verify each, write 2 word problems, and complete a camping trip planning task requiring 3 equations. Exit ticket: solve and verify n/6 = 9.

Exit ticket

Students solve 8 one-step equations (2 per operation), verify each, write 2 word problems, and complete a camping trip planning task requiring 3 equations. Exit ticket: solve and verify n/6 = 9.

TIP  Always verify solutions by substituting back: n=35, so 5x35=175. Yes. This habit transfers to all of algebra.
WORKED EXAMPLES
Solve and verify: 8 x n = 96.

Inverse: 96/8 = 12. So n=12. Verify: 8x12=96. Correct.

Planning: each hiker carries 6 items. There are 7 hikers. How many items total? Write and solve the equation.

7 x 6 = n. n = 42. 42 items total. Verify: 42/7 = 6. Yes: 6 items each.

MATERIALS
Equation cards (all four operations)
Camping trip planning worksheets
Balance scale
Verification recording sheets
WATCH FOR
!Students may try to solve 7xn=84 by subtracting 7 from 84. Reinforce: undo multiplication with division.
!Students may solve correctly but not verify. Verification confirms understanding and builds the algebraic habit of mind.