1st Grade Mathematics

Students use concrete objects and drawings to model and solve addition problems, focusing on combining groups.

Students model subtraction as taking away from a group, using manipulatives and visual aids.

Students explore subtraction as comparing two quantities to find how many more or how many fewer.

Students discover the relationship between addition and subtraction through fact families and number bonds.

Students explore the equal sign as a symbol of balance and equivalence, not just 'the answer is'.

Students use various strategies to find the missing number in addition and subtraction equations.

Students read and interpret word problems involving 'adding to' and 'putting together' scenarios.

Students solve word problems involving 'taking from' and 'comparing' scenarios.

Students solve word problems that require adding three whole numbers.

Students explore the commutative property of addition through hands-on activities and examples.

Students count, read, and write numbers up to 120, identifying patterns on a hundred chart.

Students use manipulatives to group objects into tens and ones, representing two-digit numbers.

Students represent two-digit numbers using base-ten blocks, drawings, and expanded form.

Students compare two-digit numbers using their understanding of tens and ones, and the symbols <, >, =.

Students add multiples of 10 to two-digit numbers using concrete models and mental math strategies.

Students add a two-digit number and a one-digit number, with and without regrouping, using models.

Students add two two-digit numbers without regrouping, focusing on adding tens to tens and ones to ones.

Students add two two-digit numbers with regrouping, understanding the concept of composing a new ten.

Students subtract multiples of 10 from multiples of 10 and from two-digit numbers.

Students use the hundred chart to add and subtract within 100, identifying patterns and strategies.

Students compare the lengths of two objects by lining them up side-by-side.

Students order three objects by length from shortest to longest or vice versa.

Students measure the length of objects using non-standard units like paper clips or cubes.

Students learn to identify the hour hand and tell time to the hour on an analog clock.

Students learn to identify the minute hand and understand its role in telling time to the hour and half-hour.

Students practice telling and writing time to the hour using both analog and digital clocks.

Students learn to tell and write time to the half-hour, understanding 'half past'.

Students collect data by asking questions and organize it into up to three categories.

Students create and interpret simple picture graphs to represent data with up to three categories.

Students interpret data presented in simple bar graphs, answering questions about the categories.

Students identify and describe two-dimensional shapes (squares, circles, triangles, rectangles, hexagons) based on their defining attributes.

Students distinguish between defining attributes (number of sides, vertices) and non-defining attributes (color, size, orientation).

Students identify and describe three-dimensional shapes (cubes, cones, cylinders, spheres, rectangular prisms) based on their attributes.

Students combine two-dimensional shapes to create new, larger shapes.

Students combine three-dimensional shapes to create composite shapes.

Students partition circles and rectangles into two equal shares, describing them as halves.

Students partition circles and rectangles into four equal shares, describing them as quarters or fourths.

Students relate the partitioned shares to the whole, understanding that 'half of' means one of two equal parts.

Students identify pennies, nickels, dimes, and quarters and know their values.

Students count collections of pennies, nickels, and dimes to find their total value.