Practice: One-Step Equation Gauntlet
Solve as many as you can!
Level 1: Addition (Solve for x)
x + 5 = 10
x + 3 = 7
x + 9 = 12
x + 1 = 11
x + 15 = 25
x + 7 = 19
Level 2: Subtraction (Solve for y)
y - 2 = 8
y - 10 = 5
y - 7 = 13
y - 1 = 9
y - 20 = 30
y - 6 = 14
Level 3: Multiplication (Solve for a)
2a = 12
5a = 25
3a = 15
10a = 100
4a = 24
6a = 42
Level 4: Division (Solve for b)
b / 3 = 5
b / 2 = 10
b / 6 = 6
b / 8 = 4
b / 5 = 7
b / 10 = 2
Curriculum alignment
- Algebra ā Knowledge: - A variable can be used to represent:an unknown number, often in formulae (e.g. s in s2)a quantity that can vary or change (e.g. y = 3x + 4; A = bh)a specific unknown value tā¦
- Number ā Knowledge: - Locating integers on a number line - Ordering whole negative and positive numbers using a number line - Identifying the additive inverse of any number - Representing additioā¦
- Measurement ā Knowledge: - Locating integers on a number line - Ordering whole negative and positive numbers using a number line - Identifying the additive inverse of any number - Representing additioā¦
- Statistics ā Knowledge: - Locating integers on a number line - Ordering whole negative and positive numbers using a number line - Identifying the additive inverse of any number - Representing additioā¦
- Algebra ā Knowledge: - Locating integers on a number line - Ordering whole negative and positive numbers using a number line - Identifying the additive inverse of any number - Representing additioā¦
š Teacher Planning Snapshot
NgÄ WhÄinga Ako ā Learning Intentions
Students will develop algebraic thinking and pattern recognition (tÄtai tauira) through te ao MÄori contexts, connecting mathematical reasoning to cultural and real-world problem-solving in Aotearoa.
NgÄ Paearu AngitÅ« ā Success Criteria
- ā Students can identify, describe, and extend patterns using algebraic notation.
- ā Students can explain their mathematical reasoning and connect it to real-world contexts.
Differentiation & Inclusion
Scaffold support: Provide concrete materials and visual representations before moving to abstract notation. Offer entry-level tasks using number patterns, and extension challenges involving proof or generalisation for capable learners.
ELL / ESOL: Pre-teach key mathematical vocabulary (variable, expression, equation, pattern). Allow diagrams and tables as alternate representations. Bilingual glossaries recommended.
Inclusion: Neurodiverse learners benefit from structured step-by-step templates and multiple representations (visual, numeric, algebraic). Avoid time pressure on procedural tasks.
TÄtai (to reckon, count, calculate) reflects the deep mathematical tradition within te ao MÄori ā from whakapapa genealogy structures to wharenui proportional geometry, navigation, and seasonal calendars. MÄtauranga MÄori holds rich pattern-based thinking: tukutuku panel sequences, kÅwhaiwhai scroll patterns, and fishing seasonal cycles all encode algebraic relationships. Algebra taught through these lenses makes abstract thinking visible and culturally grounded.