How to learn Grade 1: Mathematics

South Carolina academic standards: Mathematics, Grade 1

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1. Patterns, Algebra, and Functional Reasoning · Recognize, describe, extend, and create patterns.

1. Patterns & Sequences: Order and arrange combinations of mathematical objects in patterns and sequences
2. Extending Table Patterns: Recognise and use repeated reasoning to generalise: extend multiplication table patterns, derive unknown facts from known ones, and describe rules for sequences

2. Patterns, Algebra, and Functional Reasoning · Understand and apply properties of operations and the relationship between addition and subtraction to solve problems.

1. Finding a missing number in addition: Understand subtraction as finding an unknown addend (e.g. 10 − 8 = ? is the same as 8 + ? = 10)
2. Adding numbers: Add up to four two-digit numbers using strategies based on place value and properties of operations
3. Addition and subtraction word problems: Solve addition and subtraction word problems within 10 using objects or drawings
4. Addition in any order: Understand and apply the commutative property of addition: addends can be added in any order
5. Addition and subtraction within 20: Add and subtract within 20 using strategies such as making ten, decomposing a number leading to ten, and using known facts
6. Shape patterns: Look for and use mathematical structure: apply properties of operations, place-value patterns, and relationships between shapes to solve problems efficiently

3. Numerical Reasoning · Represent partitioned shapes in multiple ways using part-whole relationships.

1. Halves & Quarters of Shapes: Partition circles and rectangles into two and four equal shares and describe them using the words halves, fourths, and quarters

4. Numerical Reasoning · Demonstrate the ability to compare quantities of objects and numerals representing quantities of objects.

1. Comparing groups: more or fewer: Compare two groups of objects to determine which has more, fewer, or whether they are equal, using matching and counting strategies

5. Numerical Reasoning · Explain the relationship between numbers and quantities.

1. Connecting Representations: Move between real-world situations, drawings, and number sentences, explaining how each representation connects to the others (quantitative reasoning)
2. Counting forwards and backwards: Count forwards and backwards in steps of 3 from 0

6. Numerical Reasoning · Represent multi-digit numbers in a variety of ways to build place value understanding.

1. The three digits of a three-digit number: Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones
2. 10 or 100 More or Less: Find 10 or 100 more or less than a given number up to 1000
3. Place Value to 1000: Solve number problems and practical problems involving place value of numbers up to 1000
4. Place value understanding and number facts: Use place value understanding and number facts to solve problems
5. Representing Numbers: Identify, represent, and estimate numbers using different representations including the number line
6. Place value of each digit: Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)

7. Measurement, Geometry, and Spatial Reasoning · Analyze, describe, and manipulate shapes to make sense of their relationships in mathematical and real-world situations.

1. 2-D shapes: Recognise and name common 2-D shapes (circles, triangles, rectangles including squares)
2. 3-D shapes: Recognise and name common 3-D shapes (cubes, cuboids, pyramids, spheres, cylinders, cones)
3. 3-D shapes (age 5+): Analyse and compare 2-D and 3-D shapes using informal language to describe sides, vertices, and other attributes
4. Sorting 2-D and 3-D shapes: Compare and sort common 2-D and 3-D shapes and everyday objects by their properties

8. Measurement, Geometry, and Spatial Reasoning · Describe, estimate, measure, and compare objects in real-world situations using units of length, weight, money, and time.

1. Comparing and ordering measurements: Compare and order lengths, mass, and capacity and record results using >, <, and =
2. Calculating with measurements: Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units
3. Measuring with different units: Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen
4. Halves and quarters (age 7+): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately
5. Telling time to the minute: Measure and begin to record time in hours, minutes, and seconds
6. Measuring length: Order three objects by length and compare the lengths of two objects indirectly using a third object
7. Comparing lengths by measuring: Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit

9. Data, Probability, Statistical Reasoning · Create and answer survey questions, collect and analyze data, and communicate through multiple representations.Sort pictures or objects into at least three c

1. Sorting Data into Categories: Organise and represent data with up to three categories by counting objects in each category and sorting categories by quantity