Bridge13

CCSS.Math.Content.4.NBT.B.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.

This game enforces fluency of adding and subtracting multi-digit numbers. It could be extended to the teaching of probablity, as every turn runs the risk of not rolling a 5 or a 1 (to continue playing) and requires players to regularly assess the chances of rolling a specific combination. This game gives ELL students and lower English speaking students lots of practice talking large math problems out in their heads as they keep track of each other's scores.

CCSS.Math.Content.3.G.A.1 Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories

3-Dimensional component can be removed, and younger students can work with 2-Dimensional shapes instead. Students can practice identifying the attributes that make geometric shapes different from each other. ELL students could use these creations to help understand the "definition heavy" parts of Geometry (i.e. faces, vertices, sides, corners).

CCSS.Math.Content.3.OA.A.3 Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem

This activity is great for students who are struggling with the concept of division. The activity is especially helpful for students who need to visualize the statement before properly solving the problem. Again, these visual representations will make it easier for ELL and low performing English students to understand the concepts behind division. It could be extended by having students determine the number sentence from a story problem.

CCSS.Math.Content.1.OA.C.6 Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 - 4 = 13 - 3 - 1 = 10 - 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 - 8 = 4); and creating equivalent but easier or known sums

ELL and low English speaking students would benefit from the discussion present when solving long addition, subtraction, or multiplication problems with a partner.

Game could be modified or extended for higher grades by allowing the students to draw four cards each, then arrange them in a way to represent a 2-digit by 2-digit multiplication problem. The player with the highest total gets all four cards.

CCSS.Math.Content.2.NBT.A.2 Count within 1000; skip-count by 5s, 10s, and 100s.

Bodily Kinesthetic learners benefit from this type of instruction because it utilizes movement and patterns to teach skip counting and multiplication. ELL and low English speaking students get practice counting by pattenrs. The physical mats help students visualize the jumps they are making during skip counting.

CCSS.Math.Content.1.G.A.2 Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape

Game is great for ELL learners because it requires no English proficiency to complete the online tasks. Students can log into the program and begin working immediately, discovering the relationships between different 2-dimensional plane shapes on their own. Activity could be extended by bringing in physical tangram sets for students to complete during down time.

Provides a fun and engaging way for partners to work together in pairs of two while practicing math facts. Provides ELL and low English speaking students extra practice recalling math facts. Provides the group learning environment as well.,

CCSS.Math.Content.1.OA.C.5 Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). CCSS.Math.Content.1.OA.C.6 Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 - 4 = 13 - 3 - 1 = 10 - 1 = 9); using the relationship between addition and subtraction

CCSS.Math.Content.1.MD.A.2 Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps.

This activity is great for all learners because it takes an abstract concept like mass (weight) and provides a visual for students to think about, in terms of 1 crayon equals 2 erasers in mass, or 2 crayons equal 1 pencil in length). It provides opportunities for ELL and low English speaking students to work with measurement on terms they are familiar with. It could be extended by switching to standard units of measurement such as inches, centimeters, or grams.

CCSS.Math.Content.3.MD.A.2 Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l).1 Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.

CCSS.Math.Content.3.MD.A.2

Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l).1 Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.2

Activity is great to add real world context to ELL and low English speaking students. Provides a real world context for students to start thinking about measurement in. Brings items from the household into the classroom. Extend the activity by introducing the concept of adding two different measurements (1/4 + 3/4) together to make one whole.

CCSS.Math.Content.4.MD.A.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale

CCSS.Math.Content.1.OA.A.1 Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing.

These activities are great to get more parents involved at home with their children's learning. The supplies needed to play these games makes it very easy to do at home. Great for ELL students because it helps equip parents with the same terms and activities being performed in class.

CCSS.Math.Content.4.G.A.2 Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles

CCSS.Math.Content.4.G.A.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

CCSS.Math.Content.6.G.A.3 Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.

Geoboards are used to make polygons, angles, and lines. All students, including ELL and low performing students, benefit from the hands on construction of different figures. Allows for lots of repetition.

CCSS.Math.Content.6.SP.B.5c Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.

Card games provide opportunities for the whole class to practice this skill at the same time. ELL and low performing students benefit from the cooperation factor and the repeated math facts needed to add the values together.

CCSS.Math.Content.6.SP.B.5c Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.

Students get to practice collecting data, making graphs, and finding mean, median, mode, and range all in a fun activity involving candy and group work. The activity only calls for students to find mean, median, mode, and range. Extend the activity by having students write hypotheses, conclusions, and by making graphs to display data.

If students are having trouble coming up with categories to classify the objects under, the teacher could offer suggestions or lead a group brainstorming activity to help the children think of something.  Like most group activities, I believe this activity naturally incorporates all learners and takes advantage of the group setting in order for students to learn from one another, not just the teacher.

K.MD.3 Classify objects into given categories; count the numbers of objects in each category and sort the categories by count.

K.MD.2 Directly compare two objects with a measurable attribute in common, to see which object has "more of" or "less of" the attribute, and describe the difference. For example, directly compare the heights of two children and describe one child as taller/shorter.

K.MD.1 Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object.

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1.NBT.1 Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral.

3.MD.1 Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram.

This activity lends itself naturally to children who may not grasp the concept very well because it allows them to work in groups.  Heterogeneous grouping for this activity would allow everyone to work together in a fun, non-competitive environment.  The worksheet could be adapted for ELLs by including pictures or changing the wording to simpler words.  I found the wording of the activity sheet to be a little advanced for the age group in general, so ELLs would have particular trouble with it.  Also, it never hurts to read the activity sheet aloud before asking the studnets to fill it out.

Students who struggle more with this more challenging activity could have more time to plan and view pictures of actual bridges with the teacher pointing out the structural elements and geometric shapes on these bridges.

6.G.4 Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

5.MD.1 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Although I really like how this activity involves all aspects of trip planning, it could be adapted for less-advanced students by simply having them measure rather than calculate out travel time.  Students could still come up with the total distance, but travel time could be turned into a group activity that the class and teacher solve together until students become more confident in their abilities.

4.OA.1 Interpret a multiplication equation as a comparison

This activity could be adapted so that rather than individual students playing against each other, groups could play the game competitively.  This would take pressure off of those students who are not as fluent in their math facts as others.  It also makes it less stressful for individual students.

1.NBT.3 Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.

This activity is a great reinforcer for older students who struggle with the concept of greater than and less than, not just kindergarteners and first-graders.  The alligator analogy could really help struggling students to grasp this concept because it serves as a mnemonic device to help them to remember what the sign means.

K.CC.4 Understand the relationship between numbers and quantities; connect counting to cardinality.

This activity could really be adapted for many different ability levels.  For less advanced children, you could keep it simple and focus on easy to identify elements of the house/classroom, such as doors.  For more advanced children, you could have them count things that would come to a fairly high number, such as books, for example.  This would give them more of a challenge and let them practice counting to higher numbers.  The activity lends itself naturally to ELLs because of it's use of a drawing of a house to signify what is being counted.