About this Unit
Place value, counting, reading and writing numbers expand number concepts to 20 in this unit. Concepts include addition and subtraction through 20, greater than/ less than, missing numbers, computation strategies, and how many more/less. Vocabulary-controlled word problems included with pictographs. Employs activities with and without TouchMath techniques and cues, concrete, pictorial, and abstract activities throughout.
Module 1: Place Value
In this module, pictorial representations are used in conjunction with concrete models to build the association of numbers and their base ten values. Place value charts are used for showing the values. Bundles of straws, beads on strings, and connecting cubes are used for introducing the concept. Students review matching numbers to the quantities represented by the models and progress to comparing numbers in place value charts without the pictorial representations. FlipCards Place Value Cards 10–20 are provided for additional reinforcement, all culminating in concrete, pictorial, and abstract approaches to understanding place value.
Module 2: Addition Within 13
The first five pages of this module visually show how adding with sums 10–13 relate to place value, using models and charts to reinforce this skill. In addition sentences, TouchPoints on the lesser addends are included to help students to count on. To continually connect numbers and quantities, students draw dots to represent the quantity that is counted on. Use of concrete models is encouraged, and mathematical vocabulary is increased as children are introduced to the term “unknown” to refer to missing addends. Word problems and comparisons are used throughout the module.
Module 3: Addition Within 20
The activities in this module build on the concepts that were introduced in Module 2. The scaffolding continues with place value models being eliminated, but place value charts continue to be used, as well as the use of TouchPoints on the lesser addend. Eventually, place value charts are eliminated, reducing the visual cue of the tens and ones. The strategy of drawing dots to represent the smaller addend is continued and comparisons of the sums of pairs of addends are used frequently.
Module 4: Backward Counting
In this module, subtraction is emphasized by using TouchPoints to count backward the quantity that is being taken away to find how many are left. Achievement in subtraction is quickly attained as students become proficient with backward counting. Backward counting number lines, dot-to-dots, and mazes are used to encourage hands-on, multisensory practice and engage students. Students use the backward counting number line and TouchPoints initially and then transition to using the visual and/or kinesthetic TouchPoints. Application of subtraction equations in word problems and comparisons are also included in this module.
Module 5: Subtracting Within 20
Engaging, hands-on activities for counting backward within 20 provide practice in mastering this skill. New patterns are introduced and horizontal presentation of subtraction equations is used with backward counting number lines for reinforcement. Fact families are presented (i.e. 14-5 = 9; 14-9= 5) as a strategy for learning the subtraction facts. Doubles are also covered in this module which includes both one-digit and two-digit differences; however, no regrouping is introduced in this module.
Module 6: Mixed Computation Within 20
The activities in this module are scaffolded to provide practice adding within 13 and then 20, using counting on and TouchPoints. These activities are followed by subtracting within 13 and then 20, again using TouchPoints and counting backward to find how many are left. The visual cue of an arrow indicating where to start is still included. The module concludes with mixed addition and subtraction problems on the activity pages. Word problems and comparisons are used consistently throughout the module for reinforcement.
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