How to learn Grade 1: Mathematics

North Dakota academic standards: Mathematics, Grade 1

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1. First Grade

Picture & Bar Graphs: Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories; solve put-together, take-apart, and compare problems using information presented in a bar graph
Halves and quarters (age 7+): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately
Telling Time: Hours and Half Hours: Tell the time to the hour and half past the hour, and draw clock hands to show these times
Telling time to the minute (age 7+): Tell and write time from analogue and digital clocks to the nearest five minutes, using a.m., p.m., and 12-hour and 24-hour notation
Measuring length: Order three objects by length and compare the lengths of two objects indirectly using a third object
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
3-D shapes: Recognise and name common 3-D shapes (cubes, cuboids, pyramids, spheres, cylinders, cones)
Building with 3-D Shapes: Compose three-dimensional shapes (cubes, right rectangular prisms, right circular cones, right circular cylinders) and create composite shapes; build new shapes from component shapes
2-D shapes: Recognise and name common 2-D shapes (circles, triangles, rectangles including squares)
Composing Shapes: Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, quarter-circles) to create composite shapes, and compose new shapes from the composite shape
Angles in triangles (age 7+): Recognise and draw shapes having specified attributes (e.g. a given number of angles or equal faces); identify triangles, quadrilaterals, pentagons, hexagons, and cubes
Patterns & Sequences: Order and arrange combinations of mathematical objects in patterns and sequences
Reading +, −, and = symbols: Read, write, and interpret the symbols +, −, and = in number sentences
Early Word Problems: Solve one-step word problems involving addition and subtraction to 20, including missing-number problems
Numbers up to 10 into pairs: Decompose numbers up to 10 into pairs in more than one way (part-part-whole)
Fluent adding and subtracting within 10: Fluently add and subtract within 10
Halves & Quarters of Shapes: Partition circles and rectangles into two and four equal shares and describe them using the words halves, fourths, and quarters
The two digits of a two-digit number: Understand that the two digits of a two-digit number represent amounts of tens and ones
Mental addition and subtraction (age 6+): Add and subtract a two-digit number and ones mentally and using concrete/pictorial representations
Addition and subtraction within 1000: Add and subtract within 1000 using concrete models, drawings, and strategies based on place value; understand composing and decomposing tens and hundreds
Adding within 100: Add within 100 using strategies based on place value, including adding a two-digit and one-digit number, and a two-digit and a multiple of 10
Comparing and ordering numbers: Compare and order two-digit numbers using the symbols >, =, and <, based on place value understanding
Counting Within 1,000: Count within 1000, including skip-counting by 5s, 10s, and 100s
Counting objects to 20: Count a set of objects to answer 'how many?' for sets up to 20 (arranged in lines, arrays, circles, or scattered)
Reading and writing numbers to 120: Count to 120 starting at any number less than 120; read and write numerals to 120
Counting forwards and backwards (age 6+): Count forwards and backwards in tens from any number (not just multiples of 10)
Guided Multi-Step Problem Solving: With teacher guidance, make sense of multi-step and more complex problems by planning a pathway to the solution, identifying relevant information, and choosing appropriate operations