Public learning track
Mathematical Problem Solving in Unfamiliar Contexts
Kindergarten · Math · Curriculum for Excellence
10 lessons
Goal
Identify structural similarities across mathematical domains to select appropriate operations and carry out multi-step solutions in unfamiliar situations.
Featured Diagrams
Choosing the Correct Operation in Real-Life Situations
10 lessons
0 of 10 done
- 1Choosing the Correct Operation in Real-Life SituationsUp nextStart
- 2Two-Step Real-Life Problems With Mixed OperationsPremiumNot started yet
- 3Recognizing Underlying Mathematical Structures in Novel ProblemsNot started yet
- 4Working Backward to Solve Multi-Step ProblemsNot started yet
- 5Breaking Complex Unfamiliar Problems into Simpler Sub-TasksNot started yet
- 6Solving Optimization and Best-Choice ProblemsNot started yet
- 7Interpreting and Modelling with Real-World Rate Tables and TariffsNot started yet
- 8Solving Multi-Step Travel and Timetable ProblemsNot started yet
- 9Verifying and Evaluating Solutions in Unfamiliar ContextsNot started yet
- 10Tackling Open-Ended Investigations and Applied Modeling ChallengesNot started yet
Standards Covered
- MNU 4-03aCurriculum for Excellence · Math · Early Level (P1) · KindergartenHaving recognised similarities between new problems and problems I have solved before, I can carry out the necessary calculations to solve problems set in unfamiliar contexts.
- MNU 4-07aCurriculum for Excellence · Math · Early Level (P1) · KindergartenI can choose the most appropriate form of fractions, decimal fractions and percentages to use when making calculations mentally, in written form or using technology, then use my solutions to make comparisons, decisions and choices.
- MNU 4-08aCurriculum for Excellence · Math · Early Level (P1) · KindergartenUsing proportion, I can calculate the change in one quantity caused by a change in a related quantity and solve real-life problems.
- MNU 4-01aCurriculum for Excellence · Math · Early Level (P1) · KindergartenHaving investigated the practical impact of inaccuracy and error, I can use my knowledge of tolerance when choosing the required degree of accuracy to make real-life calculations.
Curriculum Framework
Kindergarten · Math · Curriculum for Excellence
1
9 lessons
Measurement Precision and Tolerance Specifications
Understand measurement error, apply rounding rules to significant figures and decimal places, and interpret tolerance specifications in practical contexts.
2
9 lessons
Upper and Lower Bounds in Applied Calculations
Determine measurement bounds and calculate maximum and minimum values in arithmetic, compound measures, and real-world engineering and safety scenarios.
3
9 lessons
Mastering the Order of Operations with Brackets and Powers
Develop calculation fluency across standard arithmetic hierarchy, nested brackets, fraction bars, decimals, and negative numbers.
4
6 lessons
Applying Order of Operations to Problem Solving and Formulas
Formulate, troubleshoot, and evaluate multi-step mathematical expressions and real-world formulas using brackets and proper precedence.
5
7 lessons
Powers, Squares, and Roots
Evaluate integer powers, square roots, cube roots, and higher roots mentally and using technology, understanding their inverse relationships.
6
6 lessons
Laws of Indices
Understand and apply index laws including zero, negative, product, quotient, and power-of-a-power rules to simplify numerical and algebraic expressions.
7
4 lessons
Equations and Applications of Powers and Roots
Solve equations involving powers and roots and apply these concepts to geometric area, volume, and practical modeling problems.
8
8 lessons
Understanding and Writing Scientific Notation
Understand powers of 10 and fluently convert, compare, and order very large and very small quantities in scientific notation.
9
8 lessons
Operations and Applications of Scientific Notation
Perform arithmetic operations on numbers in scientific notation and solve real-world problems involving extreme scientific scales.
10
5 lessons
Adding and Subtracting Fractions and Mixed Numbers
Master fraction conversions, common denominators, and addition and subtraction of fractions and mixed numbers in applied contexts.
11
7 lessons
Fraction Multiplication and Multi-Step Applications
Multiply fractions and mixed numbers, interpret multiplication as scaling, and solve multi-step geometric and practical problems.
12
11 lessons
Fractions, Decimals, and Percentages: Equivalence and Strategic Choices
Choose strategically between fraction, decimal, and percentage representations to calculate efficiently, compare values, and make informed real-world decisions.
13
9 lessons
Direct and Inverse Proportion
Analyze, calculate, and graph directly and inversely proportional relationships across financial, practical, and algebraic contexts.
14
6 lessons
Compound Measures and Scale Factors
Solve real-world problems involving compound units (speed, density, pressure) and apply linear, area, and volume scale factors.
15
10 lessons
Mathematical Problem Solving in Unfamiliar Contexts
Identify structural similarities across mathematical domains to select appropriate operations and carry out multi-step solutions in unfamiliar situations.