Critical Thinking Math Grade 1

This book is a complete curriculum for children of age 3. This colorful, 240-page book uses engaging activities and easy-to-follow explanations and examples to teach the concepts of counting, adding, and subtracting using the numbers 1 – 5.  It also teaches geometric shapes, colors, sequencing, classification, and visual tracking.  It is both a textbook and workbook that teaches all of the math skills children are expected to know entering kindergarten—and several concepts normally taught in kindergarten.

The activities spiral slowly, allowing students to become comfortable with concepts, but also challenging them to continue building their problem-solving skills.  This book teaches more than mathematical concepts; it teaches mathematical reasoning, so students learn to devise different strategies to solve problems.  It is written to the standards of the National Council of Teachers of Mathematics.


     •  Counting
     •  Identifying
     •  Matching
     •  Ordering
     •  Position
     •  Comparing and Estimating
     •  Addition
     •  Subtraction
     •  Locating
     •  Writing
     •  Grouping
     •  Patterns
     •  Geometric Shapes
     •  Measurement
     •  Data/Probability
     •  Fractions

An excellent addition to the full curriculum in this book is our revolutionary Smart Abacus™ app.  Using the Smart Abacus™ app on your phone, tablet, or computer enables students to solve the addition and subtraction problems in this book using a fun, step-by-step, hands-on method.  This app includes 5 addition lessons (levels) and 5 subtraction lessons (levels) along with 200 practice problems.  It also simplifies the concept of regrouping (borrowing and carrying), so that this concept—normally taught in 2nd grade—can be taught to early learners.  To learn more about the Smart Abacus™, click here.

This highly-effective, standards-based, 168-page book is a research-based instructional program that teaches beyond most state and Common Core standards by:

  • Improving children's observation and description skills
  • Developing academic vocabulary
  • Developing thinking skills that underlie content learning (describing/defining, identifying similarities and differences, sequencing, and classifying)
  • Improving students' understanding of key concepts in mathematics, social studies, and science
  • Students completing structured exercises to write sentences and paragraphs
  • Carefully sequencing lessons to develop thinking skills
  • Employing language integration techniques to teach thinking skills and key concepts

The program builds academic vocabulary using these important concepts: describe, compare and contrast, and classify shapes, position, land forms, bodies of water, living and non-living things, food, animals, family members, jobs, vehicles, and places.

Observation lessons involve concrete examples using detailed photographs to develop observation skills. The student book provides activities that students may use to clarify their thinking and learning by peer and class discussion.

    • Describing Shapes – naming shapes, finding shapes to match a description, describing characteristics of a shape
    • Similarities and Differences – matching and combining shapes, producing equal figures, figure completion
    • Sequences – recognizing and producing the next figure in a sequence
    • Classification – classifying by shape and/or color, forming classes, depicting overlapping classes
    • Using positional and directional words

    • Describing – matching a picture to a description, describing people, animals, or objects shown in pictures, part/whole analysis
    • Similarities and Differences – selecting similar people, animals, or objects, explaining similarities and differences
    • Sequences – ranking objects or people by a significant characteristic
    • Classifications – explaining characteristics of a class, exceptions, sorting into classes
    • Analogies – naming the kind of analogy or completing the analogy

This book teaches the characteristics outlined in its mental models needed to describe or define a concept.

    • Increased scores on language proficiency and cognitive abilities tests
    • Increased scores on normed or criterion-referenced achievement tests
    • Proficient student writing
    • Increased number of students placed in advanced classes and subsequent successful performance

This student book can be used with a free, downloadable, answer PDF (get it here) or with a detailed, 224-page Teacher's Manual which can be purchased separately. The Teacher's Manual provides instructions to teach the lessons using research-proven methods that promote students' thinking:  direct instruction, cooperative learning, whole sentence responding, and language integration activities. The Teacher's Manual physical book is in black and white, but the eBook version is in color.

Watch a short presentation on this highly effective product. View Online | PowerPoint | PDF


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